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Journal articles on the topic 'Impact – Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 January 2023

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1

Zhuk, Tetyana. "Mathematical Models of Reinsurance." Mohyla Mathematical Journal 3 (January 29, 2021): 31–37. http://dx.doi.org/10.18523/2617-70803202031-37.

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Insurance provides financial security and protection of the independence of the insured person. Its principles are quite simple: insurance protects investments, life and property. You regularly pay a certain amount of money in exchange for a guarantee that in case of unforeseen circumstances (accident, illness, death, property damage) the insurance company will protect you in the form of financial compensation.Reinsurance, in turn, has a significant impact on ensuring the financial stability of the insurer. Because for each type of insurance there is a possibility of large and very large risks that one insurance company can not fully assume. In the case of a portfolio with very high risks, the company may limit their acceptance, or give part of the reinsurance. The choice of path depends entirely on the company’s policy and type of insurance.This paper considers the main types of reinsurance and their mathematical models. An analysis of the probability of bankruptcy and the optimal use of a particular type of reinsurance are provided.There are also some examples and main results of research on this topic. After all, today the insurance industry is actively gaining popularity both in Ukraine and around the world. Accordingly, with a lot of competition, every insurer wants to get the maximum profit with minimal e↵ort.
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Vol’nikov, Mikhail, and Vladimir Vasilevich Smogunov. "MODELS OF ROADWAY DEGRADATION PROCESSES." Automation and modeling in design and management 2022, no. 2 (June 22, 2022): 49–60. http://dx.doi.org/10.30987/2658-6436-2022-2-49-60.

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The issues of modelling the impact of influencing factors on the roadway degradation are considered. Constant external disturbances in the form of temperature, dynamic and other influences lead to the degradation of the heterostructures that make up the roadway. To clarify the causes and conditions under which the most intense roadway destruction occurs, theoretical and experimental studies are needed on physical and mathematical models that describe road heterostructures. The aim of the work is mathematical modelling of the impact of influencing factors on the roadway degradation. Mathematical models of description are proposed. Estimating the influence of the main external factors on the occurrence of the road heterostructure degradation and recommendations for taking into consideration external and internal influences that cause road degradation are presented. The article obtains technological parameters of the roadway, under which destruction does not occur. The presented mathematical models make it possible to adequately describe the impact of external and internal factors on the roadway, to study the dynamics of the occurring phenomena in the degradation process, to establish the degree of influence on the road heterostructures and the destruction nature.
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Tedeschi, Luís Orlindo, Danny Gene Fox, Roberto Daniel Sainz, Luís Gustavo Barioni, Sérgio Raposo de Medeiros, and Celso Boin. "Mathematical models in ruminant nutrition." Scientia Agricola 62, no. 1 (January 2005): 76–91. http://dx.doi.org/10.1590/s0103-90162005000100015.

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Mathematical models can be used to improve performance, reduce cost of production, and reduce nutrient excretion by accounting for more of the variation in predicting requirements and feed utilization in each unique production situation. Mathematical models can be classified into five or more categories based on their nature and behavior. Determining the appropriate level of aggregation of equations is a major problem in formulating models. The most critical step is to describe the purpose of the model and then to determine the appropriate mix of empirical and mechanistic representations of physiological functions, given development and evaluation dataset availability, inputs typically available and the benefits versus the risks of use associated with increased sensitivity. We discussed five major feeding systems used around the world. They share common concepts of energy and nutrient requirement and supply by feeds, but differ in structure and application of the concepts. Animal models are used for a variety of purposes, including the simple description of observations, prediction of responses to management, and explanation of biological mechanisms. Depending upon the objectives, a number of different approaches may be used, including classical algebraic equations, predictive empirical relationships, and dynamic, mechanistic models. The latter offer the best opportunity to make full use of the growing body of knowledge regarding animal biology. Continuing development of these types of models and computer technology and software for their implementation holds great promise for improvements in the effectiveness with which fundamental knowledge of animal function can be applied to improve animal agriculture and reduce its impact on the environment.
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Waniewski, Jacek. "Mathematical Models for Peritoneal Transport Characteristics." Peritoneal Dialysis International: Journal of the International Society for Peritoneal Dialysis 19, no. 2_suppl (February 1999): 193–201. http://dx.doi.org/10.1177/089686089901902s32.

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Four mathematical models and for the description of peritoneal transport of fluid solutes are reviewed. The membrane model is usually applied for (1) separation of transport components, (2) formulation of the relationship between flow components and their driving forces, and (3) estimation of transport parameters. The three-pore model provides correct relationships between various transport parameters and demonstrates that the peritoneal membrane should be considered heteroporous. The extended threepore model discriminates between heteroporous capillary wall and tissue layer, which are assumed to be arranged in series; the model improves and modifies the results of the three-pore model. The distributed model includes all parameters involved in peritoneal transport and takes into account the real structure of the tissue with capillaries distributed at various distances from the surface of the tissue. How the distributed model may be applied for the evaluation of the possible impact of perfusion rate on peritoneal transport, as recently discussed for clinical and experimental studies, is demonstrated. The distributed model should provide theoretical bases for the application of other models as approximate and simplified descriptions of peritoneal transport. However, an unsolved problem is the theoretical description of bi-directional fluid transport, which includes ultrafiltration to the peritoneal cavity owing to the osmotic pressure of dialysis fluid and absorption out of the peritoneal cavity owing to hydrostatic pressure.
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Sonnergaard, J. M. "Impact of particle density and initial volume on mathematical compression models." European Journal of Pharmaceutical Sciences 11, no. 4 (October 2000): 307–15. http://dx.doi.org/10.1016/s0928-0987(00)00119-6.

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Pawlus, Witold, Hamid Reza Karimi, and Kjell Gunnar Robbersmyr. "Development of lumped-parameter mathematical models for a vehicle localized impact." Journal of Mechanical Science and Technology 25, no. 7 (July 2011): 1737–47. http://dx.doi.org/10.1007/s12206-011-0505-x.

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7

Martyniuk, Olesia, and Stepan Popina. "Mathematical models of unshadowing the wages." Herald of Ternopil National Economic University, no. 4(90) (December 12, 2018): 19–26. http://dx.doi.org/10.35774/visnyk2018.04.019.

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The article addresses a social and economic phenomenon of shadow economy, which is typical for many countries and may result in a macroeconomic imbalance. The latter hinders the sustainable growth of the economy and leads to state budget losses. Shadow economy is penetrating into almost all sectors of the national economy. As shown in the paper, a high level of shadow economy is a threat to the national economic security of the country and a cause of declining its competitiveness. The findings confirm that measuring the impact of some factors of shadow economy on the economic security of the country is quite difficult. However, there are some factors for which mathematical models can be built to describe a correlation between economic indicators and a certain factor of shadow economy. Since salary expenses constitute a significant portion of enterprise’s basic expenses, it is important to build mathematical models for calculating the correlation between shadow salaries and tax rates. Thus, the purpose of the article is to examine mathematical models of the correlation between official and shadow salaries and tax rates. The developed mathematical models demonstrate that a reduction of tax rates is followed by changes in a shadow part of salaries. The article describes a number of cases when there are no changes in salaries and tax revenues, as well as cases of pay increase. The analysis finally suggests ways to increase salaries and techniques to de-shadow salaries. The authors use general scientific methods of generalization, comparison, analysis, and the method of mathematical modeling.
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Zastempowski, Marcin, Andrzej Bochat, Lubomir Hujo, Juraj Jablonicky, and Maciej Janiec. "Impact of Cutting Units’ Design on Biomass Cutting Resistance." Acta Mechanica et Automatica 16, no. 3 (September 1, 2022): 259–65. http://dx.doi.org/10.2478/ama-2022-0031.

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Abstract The paper presents mathematical models describing the moments of resistance to cutting on the cutting drum shafts in the biomass cutting process. The mathematical procedures described in the paper have been verified on a test stand developed and constructed by the authors, which reflects real conditions of the process of cutting plant material into pieces of specified lengths. Experimental verification proved that the developed mathematical models are adequate for drums of both cylindrical and conical constructions. The value of the average error did not exceed 13%. Following the mathematical elaboration and verification studies, the authors carried out calculations for machines currently available on the market that are equipped with drum cutting units. The calculations were carried out for the most commonly cut material, i.e. for maize, straw and green plant materials. The obtained results confirm the complexity of the problem arising from a wide range of numerical values of cutting resistance, which is contained in the range of 400–1,800 nm. The compiled database can be practically applied in the selection of machines for specific field works, and the mathematical models developed and verified in the study can be applied at the stage of designing new designs of cutting drums used in forage harvesters.
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Sommariva, Sara, Giacomo Caviglia, Gianmario Sambuceti, and Michele Piana. "Mathematical Models for FDG Kinetics in Cancer: A Review." Metabolites 11, no. 8 (August 6, 2021): 519. http://dx.doi.org/10.3390/metabo11080519.

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Compartmental analysis is the mathematical framework for the modelling of tracer kinetics in dynamical Positron Emission Tomography. This paper provides a review of how compartmental models are constructed and numerically optimized. Specific focus is given on the identifiability and sensitivity issues and on the impact of complex physiological conditions on the mathematical properties of the models.
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Chung, Chun Yen, Hung Yuan Chung, and Wen Tsai Sung. "Mathematical Models for the Dynamics Simulation of Tuberculosis." Applied Mechanics and Materials 418 (September 2013): 265–68. http://dx.doi.org/10.4028/www.scientific.net/amm.418.265.

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In recent years, following malaria, tuberculosis, AIDS, Novel Influenza, and other infectious diseases, have an enormous impact on the entire globe, and directly and profoundly awaken the public, making them cognitive and alert regarding emerging and re-emerging infectious diseases. For some countries or developing regions, tuberculosis is still very serious, however, the public is still unclear TB development and change a variety of factors, therefore, need a model theory of tuberculosis. In view of this, the global epidemic, scientists and statisticians hope to further develop a complete inspection and data acquisition system and is committed to the existing monitoring system, and through the establishment of mathematical models and the spread of infectious diseases dynamics of quantitative methods to facilitate the practical application and control of epidemics, trends and cost-benefit assessment, and help build disease prevention policies, evaluation and revision.
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Hozé, Nathanaël, Sebastian Bonhoeffer, and Roland Regoes. "Assessing the public health impact of tolerance-based therapies with mathematical models." PLOS Computational Biology 14, no. 5 (May 4, 2018): e1006119. http://dx.doi.org/10.1371/journal.pcbi.1006119.

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Rahmawati, Nurina Kurniasari, Arie Purwa Kusuma, Santi Widyawati, and Fredi Ganda Putra. "Google-Based Learning and Learning Motivation: The Impact and Interaction on Students’ Mathematical Communication." Tadris: Jurnal Keguruan dan Ilmu Tarbiyah 5, no. 2 (December 21, 2020): 215–23. http://dx.doi.org/10.24042/tadris.v5i2.7163.

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Poor mathematical communication skills and motivation are influenced by several factors, such as the use of learning models used by teachers in learning. The use of appropriate learning models can improve students’ mathematical communication skills and motivation. This study aimed to determine the effect of the discussion learning model using Google Classroom and Google Form on students' mathematical communication in terms of students’ learning motivation. This type of research is quasi-experimental. Data were analyzed using two-way analysis of variance with unequal cells. Based on the results, it can be concluded that the discussion learning model using Google Classroom provided better communication skills than the learning model using Google Form, (2) there was no difference in the effect of learning motivation on students' mathematical communication, and (3) there was no interaction between learning model and learning motivation towards students' mathematical communication skills. Further research is needed to develop learning models using Google Classroom and Google Form by taking into account the characteristics of other students that are adjusted to the school curriculum.
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Mazzoccoli, Alessandro, and Maurizio Naldi. "An Overview of Security Breach Probability Models." Risks 10, no. 11 (November 17, 2022): 220. http://dx.doi.org/10.3390/risks10110220.

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Cybersecurity breach probability functions describe how cybersecurity investments impact the actual vulnerability to cyberattacks through the probability of success of the attack. They essentially use mathematical models to make cyber-risk management choices. This paper provides an overview of the breach probability models that appear in the literature. For each of them, the form of the mathematical functions and their properties are described. The models exhibit a wide variety of functional relationships between breach probability and investments, including linear, concave, convex, and a mixture of the latter two. Each model describes a parametric family, with some models have a single parameter, and others have two. A sensitivity analysis completes the overview to identify the impact of the model parameters: the estimation of the parameters which have a larger influence on the breach probability is more critical and deserves greater attention.
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Hartati, Suci, Ratu Ayu Bilqis, and Achi Rinaldi. "Mathematical problem-solving abilities and reflective thinking abilities: The impact of the influence of eliciting activities models." Al-Jabar : Jurnal Pendidikan Matematika 11, no. 1 (June 26, 2020): 167–78. http://dx.doi.org/10.24042/ajpm.v11i1.6709.

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This study aims to determine the effect of the Model Eliciting Activities (MEAs) learning model to the mathematical problem-solving abilities and the mathematical reflective thinking skills. This research is a type of Quasi Experimental Design research. Data collection techniques in this study in the form of documentation and tests at the public school in Bandar Lampung with 30 students of experiment classes and 30 students of control classes. Data analysis techniques used are the normality and homogeneity test. Testing hypothesis in this study using the Multivariate Analysis of Variance (MANOVA) test. Based on the result of this study, the calculation of the MANOVA test, it was concluded that there was an influence of the Model Eliciting Activities (MEAs) to the mathematical problem-solving abilities and the mathematical reflective thinking skills. The application of the Model Eliciting Activities to the mathematical problem-solving abilities and the mathematical reflective thinking skills has a relatively high level of effectiveness.
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Munifah, Munifah, Windi Septiyani, Indah Tri Rahayu, Rahmi Ramadhani, and Hasan Said Tortop. "Analysis of Mathematical Problem Solving Capabilities : Impact of Improve and OSBORN Learning Models on Management Education." Desimal: Jurnal Matematika 3, no. 1 (January 23, 2020): 17–26. http://dx.doi.org/10.24042/djm.v3i1.5335.

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Objectives The ability to solve problems is to gain knowledge and motivation in the problem solving process of students. The researcher used the IMPROVE and OSBORN learning models to improve problem solving skills. The IMPROVE and OSBORN learning models emphasize the development of optimal mathematical skills and generate new ideas in the process of problem solving. This research is used to see the impact of the IMPROVE learning model and OSBORN learning model which is better in mathematical problem solving abilities. This research uses the Quasy Experimental Design method. Hypothesis testing uses an independent sample test. The conclusion of the study is the mathematical problem solving ability of students who use the IMPROVE learning model is better than the mathematical problem solving abilities of students who use the OSBORN learning model.
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Bennett, J. C. "Assessment of the Impact of Land Use on Recreational Waters Using Mathematical Models." Water Science and Technology 21, no. 2 (February 1, 1989): 223–28. http://dx.doi.org/10.2166/wst.1989.0054.

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Mathematical models were used to assist in quantifying the impact of changing land use on the recreational waters of Pumicestone Passage. Runoff, washoff, hydrodynamic and water quality models were firstly calibrated and then used to predict levels of dissolved oxygen, total nitrogen, total phosphorus and E.coli in the Passage for two future land development scenarios. The models provided valuable tools for understanding the system response to non-point source pollutant loadings and assessing alternative scenarios. They indicated that planned development to the year 2000 would not result in significant water quality deterioration while extreme development is likely to do so to the extent of prejudicing some water uses.
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Harris, Rebecca C., Tom Sumner, Gwenan M. Knight, and Richard G. White. "Systematic review of mathematical models exploring the epidemiological impact of future TB vaccines." Human Vaccines & Immunotherapeutics 12, no. 11 (July 22, 2016): 2813–32. http://dx.doi.org/10.1080/21645515.2016.1205769.

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Yasin, Muhamad, Nasiroh Nasiroh, Abi Fadila, Sitti Hartinah, and Novalia Novalia. "Mathematical reasoning abilities: The Impact of Novick's Learning and Somatic, Auditory, Visual, Intellectual Learning Styles." Desimal: Jurnal Matematika 3, no. 1 (January 31, 2020): 83–88. http://dx.doi.org/10.24042/djm.v3i1.4907.

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Every life needs a very important role especially the role in education. Improving the quality of education can be pursued by the use of appropriate learning models so as to improve students' reasoning abilities. The purpose of this study was to determine the differences in the influence of Novick's learning model and the learning model that is centered on educators on students' mathematical reasoning abilities, Knowing the interaction between learning models and SAVI learning styles (Somatic, Auditory, Visualization, Intelectually) on mathematical reasoning abilities learners. This research uses the Quasy Experiment Design method. The results obtained from this study are that learning by using Novick's learning model is more effective against mathematical reasoning for students, there is no interaction between Novick's learning model and SAVI learning style on mathematical reasoning abilities.
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Balandin, Dmitry V., Nikolai N. Bolotnik, Walter D. Pilkey, and Sergey V. Purtsezov. "Impact Isolation Limiting Performance Analysis for Three-Component Models." Journal of Dynamic Systems, Measurement, and Control 127, no. 3 (November 17, 2004): 463–71. http://dx.doi.org/10.1115/1.1978914.

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For the crashworthiness analysis of transport vehicles a three-component system that consists of a base, a container, and an object to be protected, connected by shock isolators, can be utilized as a model. An approach for a limiting performance analysis of shock isolation for such a model is proposed. This approach involves the reduction of the optimal control problem for the three-component system to an auxiliary optimal control problem for a two-component system. A detailed description of the technique for the determination of the absolute minimum of the performance index and construction of the optimal control is presented. A proposition that provides a mathematical substantiation for this technique is stated and proven. Example problems included in the paper demonstrate the effectiveness of the proposed technique.
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Fanuel, Ibrahim M., Damian Kajunguri, and Francis Moyo. "Modelling the Impact of Human Population and Its Associated Pressure on Forest Biomass and Forest-Dependent Wildlife Population." Journal of Applied Mathematics 2023 (January 12, 2023): 1–9. http://dx.doi.org/10.1155/2023/4826313.

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Mathematical models have been widely used to explain the system originating from human-nature interaction, investigate the impacts of various components, and forecast system behaviour. This paper provides a profound reference to the current state of the art regarding the application of mathematical models to study the impact of human population and population pressure on forest biomass and forest-dependent wildlife. The review focused on two aspects, namely, model formulation and model analysis. In model formulation, the review revealed that socioeconomic status influences forest resource consumption patterns, thus, stratification of the human population based on economic status is a critical phenomenon in modelling human-nature interactions; however, this component has not been featured in the reviewed models. Regarding model analysis, in most of the reviewed work, single parameter approach was utilized to perform uncertainty quantification of the model parameter; this approach has been proven to be inadequate in measuring the uncertainty and sensitivity of the parameter. Thus, the use of correlation or variance based methods, which are multidimensional parameter space methods are of significant importance. Generally, despite the limitations of many assumptions in mathematical modelling, it is revealed that mathematical models demonstrate the ability to handle complex systems originating from interactions between humans and nature.
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Komarudin, Komarudin, Suherman Suherman, and Anita Anggraini. "Analysis of Mathematical Concept Understanding Capabilities: The Impact of Makerspae STEM Learning Approach Models and Student Learning Activities." Journal of Innovation in Educational and Cultural Research 2, no. 1 (June 15, 2021): 35–43. http://dx.doi.org/10.46843/jiecr.v2i1.21.

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This research aims to determine the influence of students' learning activities on the ability to understanding mathematical concepts through the STEM Learning Approach Makerspace model based on PBL on SPLDV materials. As for the type of research Quasi-Experiments. The population in this study was 90 students who were distributed into 3 classes with 2 classes that sampled grades VIII A and VIII C. The sampling techniques in this study used randomized classes and data collection techniques in this study were tests and observations, while the research instruments used preliminary tests and final tests to measure the ability to understand mathematical concepts and observation sheets to see students' learning activities. Data analysis techniques using a two-way ANOVA test. The research showed that there is an influence of the PBL-based Makerspace STEM Learning Approach model on the ability to understand mathematical concepts, there is no influence on students' learning activities on mathematical concept comprehension capabilities, and there is no interaction between the PBL-based Stem Learning Approach Makerspace model and student learning activities on the ability to understand mathematical concepts. Conclusion, there is a positive direct effect of cognitive structures on the ability to understanding mathematical concepts.
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Wang, Ning, Yuting Fu, Hu Zhang, and Huipeng Shi. "An evaluation of mathematical models for the outbreak of COVID-19." Precision Clinical Medicine 3, no. 2 (May 22, 2020): 85–93. http://dx.doi.org/10.1093/pcmedi/pbaa016.

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Abstract Mathematical modelling performs a vital part in estimating and controlling the recent outbreak of coronavirus disease 2019 (COVID-19). In this epidemic, most countries impose severe intervention measures to contain the spread of COVID-19. The policymakers are forced to make difficult decisions to leverage between health and economic development. How and when to make clinical and public health decisions in an epidemic situation is a challenging question. The most appropriate solution is based on scientific evidence, which is mainly dependent on data and models. So one of the most critical problems during this crisis is whether we can develop reliable epidemiological models to forecast the evolution of the virus and estimate the effectiveness of various intervention measures and their impacts on the economy. There are numerous types of mathematical model for epidemiological diseases. In this paper, we present some critical reviews on mathematical models for the outbreak of COVID-19. Some elementary models are presented as an initial formulation for an epidemic. We give some basic concepts, notations, and foundation for epidemiological modelling. More related works are also introduced and evaluated by considering epidemiological features such as disease tendency, latent effects, susceptibility, basic reproduction numbers, asymptomatic infections, herd immunity, and impact of the interventions.
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Novokshonova, Elena, Marina Pivovarova, and Vladimir Tyurnin. "Impact of mathematical theory of exchange on national economic growth." MATEC Web of Conferences 239 (2018): 08020. http://dx.doi.org/10.1051/matecconf/201823908020.

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The paper presents the economic and mathematical theories of exchange by W.S. Jevons, L. Walras, J.E. Stiglitz, B. Holmström, and others. Theories of exchange are classified into classical (J.B. Say), neoclassical (A. Marshall), contractual (B. Holmström), natural scientific (V. Pareto), statistical. Mathematical models of exchange allow deepening the concept of competition. They show competition from the interaction of producers and the resulting uncertainty of exchange. It is shown that the emphasis on exchange to the detriment of production or, conversely, underestimation of exchange in economic regulation leads to a slowdown in economic growth. Research methods: abstraction, analysis and synthesis, the method of comparative descriptive analysis, economic and mathematical analysis.
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Palomba, Ilaria, Alberto Doria, Edoardo Marconi, Matteo Bottin, and Giulio Rosati. "Vibration Energy Harvesting from Raindrops Impacts: Experimental Tests and Interpretative Models." Applied Sciences 12, no. 7 (March 23, 2022): 3249. http://dx.doi.org/10.3390/app12073249.

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The kinetic energy of raindrops is a large and renewable source of energy that nowadays can be exploited by means of piezoelectric harvesters. This study focuses on a new cantilever harvester that uses the impact of a drop on a liquid surface created on the harvester in order to improve the conversion from kinetic energy to electric energy. Experimental tests, carried out both outdoors and indoors, were performed to assess the validity of the proposed design. The voltage obtained with the impact on the liquid surface was about four times larger than the one obtained with the impact on a dry surface. The phenomena that lead to the increased performance of the harvester were analyzed both experimentally, by means of a high-speed camera, and analytically, by means of a mathematical model. The camera footage showed a clear relationship between the waveform of the generated voltage and the various phases of the impact (crown formation, crown collapse, and sloshing). The mathematical model developed herein, which was based on the oscillation of the liquid mass caused by the impact and on the linear momentum equation, is simple and can be used to estimate the measured voltage within a good approximation.
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Čarný, Štefan, and Vladislav Zitrický. "Evaluation of the Impact of International Trade Using Regression and Correlation Models." Transport technic and technology 17, no. 1 (June 1, 2021): 13–20. http://dx.doi.org/10.2478/ttt-2021-0003.

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Abstract The connection of international economies in the world represents an important role for the development of modern economies of countries. This phenomenon is known as globalization. The article describes in more detail the dependence of the Slovak Republic on the economies of East Asia, where mathematical research was performed on macroeconomic indicators of imports and exports. The Slovak Republic is experiencing an increase in GDP for the entire reference period. The growth of economic indicators in the Slovak Republic is ensured mainly due to the strong integration of our economy into international logistics chains and the strongly developed automotive industry. However, assuming the COVID-19 crisis, several studies suggest a sharp decline in economic indicators, as international trade has had to be significantly reduced for some time. The countries we examined in the article have a significant impact on these areas, so our research was focused on the main sectors of the Slovak economy. The automotive industry, the metallurgical industry and the electronics industry were evaluated. Data from world statistics were evaluated using mathematical and statistical models. The result of the study was the confirmation of dependence in all the categories.
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Meena, Ayush, Tushar Sharma, Mohit Patodiya, and P. V. Ramana. "Evaluation of Morsel Rubber Mathematical Models in Seismic Areas." Proceedings of the 12th Structural Engineering Convention, SEC 2022: Themes 1-2 1, no. 1 (December 19, 2022): 1185–91. http://dx.doi.org/10.38208/acp.v1.638.

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Reinforced concrete is the most consumed material in the world, followed by air and water. As the demand for reinforced concrete as a building material increases, so makes the demand for Portland cement and ordinary cement. On the other hand, environmental protection has become a significant issue due to climate change caused by global warming. This is due to emissions of greenhouse gases such as CO2 from human activities. Of all greenhouse gases, CO2 is responsible for approximately 65% ??of global warming. The cement industry also contributes to releasing CO2 into the atmosphere by producing large amounts of Portland cement and releasing large amounts of CO2. One can need to protect the environment by preventing the uncontrolled disposal of waste. Several efforts have been made to solve this problem. These include using additional cementitious materials such as fly ash, silica fume, granular blast furnace slag, rice husk ash, grass, metakaolin, and alternative binders to Portland cement. Consumption of morsel rubber concrete can reduce the environmental impact in the cement industry. From the perspective of global warming, the technology of self-compacting morsel rubber concrete can significantly reduce the emission of CO2 into the atmosphere. This report presents the analysis and test results of the properties of class 40 self-compacting Morsel rubber concrete using various new approaches.
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Ben Dhahbi, Anis, Yassine Chargui, Salah Mahmoud Boulaaras, Sana Ben Khalifa, Waleed Koko, and Faisal Alresheedi. "Mathematical Modelling of the Sterile Insect Technique Using Different Release Strategies." Mathematical Problems in Engineering 2020 (November 6, 2020): 1–9. http://dx.doi.org/10.1155/2020/8896566.

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We study simple mathematical models for the dynamics of interactive wild and sterile insect populations. As well as being mathematically tractable, these models can be used as first approximations to real situations occurring with the Sterile Insect Technique (SIT) in which sterile males are released to reduce or eradicate a pest population. This is a method of biological control which can effectively help contain the spread of many pest insects such as the Red Palm Weevil (RPW). Models formulated in this paper are continuous-time, include a strong Allee effect that captures extinction events, and incorporate different strategies of releasing sterile insects. We perform basic studies of dynamical features of these models, with an emphasis on the condition of excitation, and the impact of the different release methods is investigated. Our findings are also demonstrated with some numerical examples.
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Ishtiaq, Amna. "Dynamics of COVID-19 Transmission: Compartmental-based Mathematical Modeling." Life and Science 1, supplement (December 23, 2020): 5. http://dx.doi.org/10.37185/lns.1.1.134.

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The current pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-Cov2) demands scientists all over the world to make their possible contributions in whatever way possible to control this disease. In such health emergency, mathematical epidemiologists are playing a pivotal role by constructing different mathematical and statistical models for predicting different future scenario and their impact on different intervention strategies to policy makers and health legislators. Compartmental-based models (CBM), are a type of transmission dynamic framework, which are one of the most studied models during this pandemic. This communication highlights the role CBM models play for the understanding of COVID-19 transmission dynamics.
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Korzin, V. V., and P. P. Gladkih. "THEORETICAL AND EXPERIMENTAL INVESTIGATION OF DYNAMIC IMPACT OF AXISYMMETRIC JET BASED ON MATHEMATICAL MODELS." Scientific and Technical Volga region Bulletin 6, no. 1 (February 2016): 66–70. http://dx.doi.org/10.24153/2079-5920-2016-6-1-66-70.

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Myszograj, Sylwia, and Magdalena Wojciech. "Mathematical modelling of waste activated sludge thermal disintegration." ITM Web of Conferences 23 (2018): 00027. http://dx.doi.org/10.1051/itmconf/20182300027.

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Chemical Oxygen Demand (COD) solubilisation was used to evaluate the impact of thermal pretreatment on the transfer of sewage sludge from particulate to soluble phase. It was gathering the experimental data needed for building of empirical mathematical model describing the relation between applied temperature and time and rate of COD solubilisation and degradation. In view of repeated measurements, in order to describe the relationship between changes in the fraction of dissolved COD and the time and temperature, mixed models have been adopted where by fixed factor measurement conditions have been adopted: time and temperature, while the random factor changes the characteristics of waste activated sludge. Linear and logistic nonlinear mixed models were analyzed. The tests demonstrated that all variables are statistically significant in assessing their impact on the efficiency of liquefaction of sludge. On the basis of the estimated model, the temperature rise of 10°C increases degree of disintegration 1.7% above the average treatment time for 0.5h, by 2.6% for 1 hour, and by 3.9% for 2h. COD values decrease between 3 to 23% at temperatures in the range of 55 to 115°C. At higher temperatures COD was reduced in the range of 32 to 44%. Disintegration time did not have the significant impact on the degradation effect.
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Manevitch, L. I., and O. V. Gendelman. "Oscillatory models of vibro-impact type for essentially non-linear systems." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 10 (October 1, 2008): 2007–43. http://dx.doi.org/10.1243/09544062jmes1057.

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This paper reviews recent developments related to oscillatory systems, their impact on and relationship to the cases of smooth, essentially anharmonic (non-linearizable) potentials, and vice versa. Special methods of treatment that allow the response regimes in dynamic vibro-impact systems to be computed have been discussed. Mathematical models that approximate purely elastic as well as inelastic impact, with the help of smooth functions, are presented and illustrated by specific examples. The use of ideas based on non-smooth time transforms to treat essentially non-linear systems with smooth potentials has also been discussed. Special attention has been paid to uncommon applications of vibro-impact models.
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Salingkat, Suhartini, and Anastasia Bilalu. "THE INFLUENCE OF TREFFINGER LEARNING MODELS ON MATHEMATICS COMMUNICATION SKILLS OF STUDENTS." Jurnal Pendidikan Matematika dan IPA 12, no. 2 (July 26, 2021): 97. http://dx.doi.org/10.26418/jpmipa.v12i2.40814.

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This study aims to analyze the impact of the Treffinger learning model on students' mathematical communication skills. This research was conducted at Senior High School 1 Bulagi grade 10th, 2018/2019 academic year. This type of research was a Quasi-Experimental study with a Pretest-Posttest Control Group Design. Data collection on mathematical communication skills used test instruments. The results revealed that the mathematical communication skills of students taught using the Treffinger learning model were higher than those taught using the Student Team Achievement Division / STAD cooperative learning model (FCount = 5.78> Ftable = 4.03). It can be seen from the results of the research that application of the Treffinger learning model has a higher effect on students' communication skills compared to the Student Learning Achievement Division (STAD) cooperative learning model. It is proven from the average mathematical communication skills of students taught with the Treffinger learning model on the written text indicator, drawing and mathematical expression expressed at 50.67 while the students taught with the Student Team Achievement Division (STAD) cooperative learning model on the written indicator text, drawing and mathematical expressions were stated at 47.50.
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Koelle, Katia, and David A. Rasmussen. "Rates of coalescence for common epidemiological models at equilibrium." Journal of The Royal Society Interface 9, no. 70 (September 14, 2011): 997–1007. http://dx.doi.org/10.1098/rsif.2011.0495.

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Coalescent theory provides a mathematical framework for quantitatively interpreting gene genealogies. With the increased availability of molecular sequence data, disease ecologists now regularly apply this body of theory to viral phylogenies, most commonly in attempts to reconstruct demographic histories of infected individuals and to estimate parameters such as the basic reproduction number. However, with few exceptions, the mathematical expressions at the core of coalescent theory have not been explicitly linked to the structure of epidemiological models, which are commonly used to mathematically describe the transmission dynamics of a pathogen. Here, we aim to make progress towards establishing this link by presenting a general approach for deriving a model's rate of coalescence under the assumption that the disease dynamics are at their endemic equilibrium. We apply this approach to four common families of epidemiological models: standard susceptible-infected-susceptible/susceptible-infected-recovered/susceptible-infected-recovered-susceptible models, models with individual heterogeneity in infectivity, models with an exposed but not yet infectious class and models with variable distributions of the infectious period. These results improve our understanding of how epidemiological processes shape viral genealogies, as well as how these processes affect levels of viral diversity and rates of genetic drift. Finally, we discuss how a subset of these coalescent rate expressions can be used for phylodynamic inference in non-equilibrium settings. For the ones that are limited to equilibrium conditions, we also discuss why this is the case. These results, therefore, point towards necessary future work while providing intuition on how epidemiological characteristics of the infection process impact gene genealogies.
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Nguyen, Ngoc Hung, Van Phan Do, and Hoa Tien Vu. "Estimating Disturbance Torque Effects on the Stability and Control Performance of Two-Axis Gimbal Systems." Journal of the Russian Universities. Radioelectronics 25, no. 4 (September 29, 2022): 63–71. http://dx.doi.org/10.32603/1993-8985-2022-25-4-63-71.

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Introduction. Two-axis gimbal systems are applied for stabilizing and controlling the line of sight (LOS) of an optical or imaging system mounted on a moving vehicle. Gimbal systems are intended to isolate various disturbance torques and control the LOS toward the direction of a target. Two-axis gimbals can be of two main types, namely Yaw-Pitch and Swing-Roll type. In this article, we focus on investigating mathematical models of two-axis gimbals, which describe the impact of cross-disturbance torques on their stability and control performance. Simulations were conducted to compare advantages and disadvantages of the two types of two-axis gimbals.Aim. To study mathematical models describing the impact of cross-disturbance torques on the stability and control performance of two-axis gimbals.Materials and methods. Mathematical models of two-axis gimbal systems were synthesized by the Lagrange method. The operation of two-axis gimbal systems was simulated in the Matlab-Simulink environment. Results. Mathematical models and structural diagrams of the synthesized Yaw-Pitch and Swing-Roll gimbals were obtained. The conducted simulations of typical cases revealed different cross-disturbance effects.Conclusion. Motion equations for Swing-Roll and Yaw-Pitch gimbals were derived using similar methodology. The impact of cross-disturbance torques on gimbal systems was evaluated. The obtained results form a basis for selecting an optimal structure of tracking systems meeting the desired characteristics.
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Rosello, Alicia, Carolyne Horner, Susan Hopkins, Andrew C. Hayward, and Sarah R. Deeny. "Understanding the Impact of Interventions to Prevent Antimicrobial Resistant Infections in the Long-Term Care Facility: A Review and Practical Guide to Mathematical Modeling." Infection Control & Hospital Epidemiology 38, no. 2 (December 19, 2016): 216–25. http://dx.doi.org/10.1017/ice.2016.286.

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OBJECTIVES(1) To systematically search for all dynamic mathematical models of infectious disease transmission in long-term care facilities (LTCFs); (2) to critically evaluate models of interventions against antimicrobial resistance (AMR) in this setting; and (3) to develop a checklist for hospital epidemiologists and policy makers by which to distinguish good quality models of AMR in LTCFs.METHODSThe CINAHL, EMBASE, Global Health, MEDLINE, and Scopus databases were systematically searched for studies of dynamic mathematical models set in LTCFs. Models of interventions targeting methicillin-resistant Staphylococcus aureus in LTCFs were critically assessed. Using this analysis, we developed a checklist for good quality mathematical models of AMR in LTCFs.RESULTS AND DISCUSSIONOverall, 18 papers described mathematical models that characterized the spread of infectious diseases in LTCFs, but no models of AMR in gram-negative bacteria in this setting were described. Future models of AMR in LTCFs require a more robust methodology (ie, formal model fitting to data and validation), greater transparency regarding model assumptions, setting-specific data, realistic and current setting-specific parameters, and inclusion of movement dynamics between LTCFs and hospitals.CONCLUSIONSMathematical models of AMR in gram-negative bacteria in the LTCF setting, where these bacteria are increasingly becoming prevalent, are needed to help guide infection prevention and control. Improvements are required to develop outputs of sufficient quality to help guide interventions and policy in the future. We suggest a checklist of criteria to be used as a practical guide to determine whether a model is robust enough to test policy.Infect Control Hosp Epidemiol 2017;38:216–225
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Bulgakov, Volodymyr, Semjons Ivanovs, Volodymyr Volskyi, Volodymyr Kuvachоv, and Yevhen Ihnatiev. "Simulation of the Flat-parallel Movement of a Bridge Agricultural Unit with an Articulated Frame." Rural Sustainability Research 44, no. 339 (December 1, 2020): 8–14. http://dx.doi.org/10.2478/plua-2020-0012.

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AbstractThe work presents foundations of the dynamics of the flat-parallel movement of a bridge agricultural unit in a horizontal with the kinematic method of its control (turning the wheels) by changing the position of one of its parts relative to the other. The analysis of assessment of the degree of impact of the scheme and parameters of the investigated agricultural tool upon its controllability and stability of movement is based on the amplitude and phase frequency characteristics. The mathematical models of the movement of the bridge agricultural unit are presented in a differential and an operator form of recording. Based on mathematical models, the calculated amplitude and phase frequency characteristics of the dynamic control system of the control impact, presented as the angular displacement of its half-frames ψ, are constructed for various parameters and operating modes. The constructed mathematical models, amplitude and phase frequency characteristics make it possible to assess the impact of the control parameter of the bridge agricultural unit, as well as its design and other parameters upon the controllability of the movement.
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Serov, A. S., C. Salafia, D. S. Grebenkov, and M. Filoche. "The role of morphology in mathematical models of placental gas exchange." Journal of Applied Physiology 120, no. 1 (January 1, 2016): 17–28. http://dx.doi.org/10.1152/japplphysiol.00543.2015.

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The performance of the placenta as a gas exchanger has a direct impact on the future health of the newborn. To provide accurate estimates of respiratory gas exchange rates, placenta models need to account for both the physiology of exchange and the organ morphology. While the former has been extensively studied, accounting for the latter is still a challenge. The geometrical complexity of placental structure requires use of carefully crafted approximations. We present here the state of the art of respiratory gas exchange placenta modeling and demonstrate the influence of the morphology description on model predictions. Advantages and shortcomings of various classes of models are discussed, and experimental techniques that may be used for model validation are summarized. Several directions for future development are suggested.
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Pollard, P. C., E. v. Münch, P. A. Lant, and P. F. Greenfield. "The impact of microbiological tools on mathematical modelling of biological wastewater treatment." Water Science and Technology 36, no. 10 (November 1, 1997): 97–108. http://dx.doi.org/10.2166/wst.1997.0368.

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Biological systems are being used to treat an increasing range of complex wastes; domestic and industrial wastewaters containing nutrients and refractory organic compounds, soil sites and groundwater contaminated by organics, and organic solid residues. These treatment processes rely on micro-organisms and, more than ever before, must deliver higher quality outcomes at higher levels of reliability to protect the environment. At the same time, pressures to deliver cost-effective treatment have increased. The challenge for these biological treatment technologies and the associated engineering is to achieve the environmental and economic goals simultaneously. Mathematical modelling is an essential component in developing a detailed understanding of such processes, as well as design guidelines and suitable operating and control strategies. This paper provides a brief summary of the development of mathematical models for biological waste treatment systems, why they have become increasingly complex and how certain microbiological tools can provide the experimental means to validate more complex segregated and structured models of biological behaviour. With a number of specific modelling examples in the field of wastewater treatment, we illustrate the potential of these modern microbiological tools and their implications for gaining an improved understanding of biological waste treatment.
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Vilenskiy, O., S. Dushev, D. Lapshin, and Ya Lebedeva. "COMPUTATIONAL ANALYSIS OF THE IMPACT ACTION IN THE DESIGN OF THE TOOLING FOR EQUIPMENT TESTING." PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. SERIES: NUCLEAR AND REACTOR CONSTANTS 2019, no. 3 (September 26, 2019): 14–29. http://dx.doi.org/10.55176/2414-1038-2019-3-14-29.

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Described are state-of-the-art approaches to solving the problems associated with impact testing of the equipment under development at the design stage. A brief description is provided of an experimental facility that models in different directions the impact loads equivalent to the effect of a blast wave originated near the object. The topicality is emphasized of developing - based upon the calculational mathematical analysis - the safe process tooling that prevents any possibility of accident consequences. The capabilities of ANSYS/LS-DYNA, a state-of-the-art computing system, are elucidated in brief. In ANSYS/LS-DYNA, full-scale mathematical 3D-modeling is implemented that enables a sufficiently deep and detailed analysis of dynamic processes through the use of a finite element method. Described are analytical and experimental methods of studying the deformation models of structural materials under static and dynamic loads, and determined are parameters of the mathematical models (Jonson-Cook models, Allen model, Rule & Jones, Cowper-Symonds model) from the LS-DYNA library. With account of the safety requirements in the regulatory documents, the deformation criteria are employed to assess the dynamic strength of the structural materials used to manufacture the tooling. Following the results of the mathematical analysis of the impact action, the tooling has been designed that enables successful testing at a safe level. The specified parameters have been reached that are in the technical requirements for the developed equipment - the obtained accelerations are maximally close to the calculated ones. Thanks to the integrated approach to the computational analysis that covered the engineering-and-design, physical-mechanical, mathematical and regulatory aspects, an opportunity has come to abandon the excessive conservatism and thus to fit well into the specified overall dimensions of the item and to reduce the specific metal content of the final product. Abandoning the multivariate progressive approximations in the analysis of the tooling at the design stage resulted also in the shortened design time and in the reduced design cost.
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Barquero, Berta, and Britta Eyrich Jessen. "Impact of theoretical perspectives on the design of mathematical modelling tasks." Avances de Investigación en Educación Matemática, no. 17 (May 1, 2020): 98–113. http://dx.doi.org/10.35763/aiem.v0i17.317.

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In this paper, we discuss how the adoption of a particular theoretical framework affects task design in the research field of modelling and applications. With this purpose, we start by referring to the existence of different reference epistemological models about mathematical modelling to analyse better the consequences they have for decision making concerning designing modelling tasks and their implementation. In particular, we present the analysis of three case studies, which have been selected as representatives of different theoretical perspectives to modelling. We discuss the impact of the chosen reference epistemological model on the task design process of mathematical modelling and the local ecologies suited for their implementation.
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Cárdenas Gutiérrez, Javier Alfonso, Jose Leonardo Jacome Carrascal, and Mawency Vergel Ortega. "Determination of potential and actual evapotranspiration in watershed, using mathematical models." Revista Boletín Redipe 10, no. 3 (March 1, 2021): 225–31. http://dx.doi.org/10.36260/rbr.v10i3.1230.

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In this research, it is analyzed the calculation of real evapotranspiration in hydrographic basins, it is taken as a reference the Aguablanca Creek, located in the municipality of Bochalema, North of Santander-Colombia, where it is evaluated the hydrologic balance of this basin from the determination of detailed calculations of four mathematical models, to later evaluate the hydrologic balance of this basin, with the purpose of being able to make a better administration of these resources, as well as the use of the soil, betting on the development of an ecologically sustainable society with low environmental impact. The values of potential and real evapotranspiration, according to the most optimal model ETP Thorwaite 874 mm/year ETR 43712 mm/year, Cenicafe 712.81 mm/year ETR 612.1 mm/year Turc ETR 884.83 mm/year quota ETR 825 mm/year.
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He, Bin, and Jun Long Lu. "Stress Analysis of Underground Arch Structure." Advanced Materials Research 243-249 (May 2011): 938–41. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.938.

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To research the safety of an underground defense project and the impact to other buildings, applying basic mechanics principles, established two types of mathematical model for arch about the project, and analyzed stress in different directions of ground arch structure. The data shows that the results were very different in different mathematical models, and mathematical models should be considered as close to actual stress situation in structural analysis. In the structural analysis involved soil, spatial finite element model is more accurate and reasonable than truss finite element model.
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Wang, Chang Sheng, Hai Xiong Wang, Ji Bin Li, and Jiang Zhang. "Experiment on Hot Rolling Deformation Resistance of Aluminum Alloy and Mathematical Modeling." Advanced Materials Research 314-316 (August 2011): 409–14. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.409.

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In order to investigate the impact factor of hot rolled aluminum alloy, a experiment was finished in a factory, to determine the effects of hot-rolled aluminum alloy plate with the system deformation resistance coefficient of the various factors and to mark the influence about the temperature to the hot rolling deformation resistance; Then, established the mathematical models of 1100,3003,5052 series hot rolled aluminum alloy plate's deformation resistance; The data calculated by the theoretical mathematical models is in good agreement the measured data. So this mathematical have the importance actual significance to actual production.
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Islamiati, Nur, Dina Amalya Lapele, and Beatrix Purnama Sari. "Mathematical Problem Solving Ability in terms of Mathematical Disposition on the Application of Group Investigation (GI) Learning Models." Edumatica : Jurnal Pendidikan Matematika 11, no. 02 (August 30, 2021): 29–37. http://dx.doi.org/10.22437/edumatica.v11i02.12205.

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This study aims to describe how students 'problem-solving abilities in terms of students' mathematical dispositions on the application of the group investigation (GI) learning model. The approach used is qualitative and quantitative with descriptive types. The research subjects were 29 MAN 1 Malang class X. The data collection technique used a closed questionnaire type Likert scale, observation sheet and test questions. The results showed that learning using the group investigation learning model on mathematics learning could have a positive impact on the affective domain of students, namely mathematical disposition. The giving of the first and second disposition questionnaires increased by an average of 3.31 in the good category. Students' mathematical problem solving abilities based on mathematical dispositions are obtained by students with high dispositions who are able to solve problems properly and correctly. Students of moderate disposition can understand the problem well and provide solutions but are lacking in the solving process. Meanwhile, students with low mathematical disposition have less problem solving skills.
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Abiodun, Oluwakemi E., Olukayode Adebimpe, James A. Ndako, Olajumoke Oludoun, Benedicta Aladeitan, and Michael Adeniyi. "Mathematical modeling of HIV-HCV co-infection model: Impact of parameters on reproduction number." F1000Research 11 (October 10, 2022): 1153. http://dx.doi.org/10.12688/f1000research.124555.1.

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Background: Hepatitis C Virus (HCV) and Human Immunodeficiency Virus (HIV) are both as classified blood-borne viruses since they are transmitted through contact with contaminated blood. Approximately 1.3 million of the 2.75 million global HIV/HCV carriers inject drugs (PWID). HIV co-infection has a harmful effect on the progression of HCV, resulting in greater rates of HCV persistence after acute infection, higher viral levels, and accelerated progression of liver fibrosis and end-stage liver disease. In this study, we developed and investigated a mathematical model for the dynamical behavior of HIV/AIDS and HCV co-infection, which includes therapy for both diseases, vertical transmission in HIV cases, unawareness and awareness of HIV infection, inefficient HIV treatment follow-up, and efficient condom use. Methods: Positivity and boundedness of the model under investigation were established using well-known theorems. The equilibria were demonstrated by bringing all differential equations to zero. The associative reproduction numbers for mono-infected and dual-infected models were calculated using the next-generation matrix approach. The local and global stabilities of the models were validated using the linearization and comparison theorem and the negative criterion techniques of bendixson and dulac, respectively. Results: The growing prevalence of HIV treatment dropout in each compartment of the HIV model led to a reduction in HIV on treatment compartments while other compartments exhibited an increase in populations. In dually infected patients, treating HCV first reduces co-infection reproduction number Rech, which reduces liver cancer risk. Conclusions: From the model's results, we infer various steps that policymakers could take to reduce the number of mono-infected and co-infected individuals.
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Thomas, R. W. "Developments in Mathematical Programming Models and Their Impact on the Spatial Allocation of Educational Resources." Progress in Human Geography 11, no. 2 (June 1987): 207–26. http://dx.doi.org/10.1177/030913258701100203.

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Davis, Emma L., Leon Danon, Joaquín M. Prada, Sharmini A. Gunawardena, James E. Truscott, Johnny Vlaminck, Roy M. Anderson, Bruno Levecke, Eric R. Morgan, and T. Deirdre Hollingsworth. "Seasonally timed treatment programs for Ascaris lumbricoides to increase impact—An investigation using mathematical models." PLOS Neglected Tropical Diseases 12, no. 1 (January 18, 2018): e0006195. http://dx.doi.org/10.1371/journal.pntd.0006195.

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Graczykowski, C. "Mathematical models and numerical methods for the simulation of adaptive inflatable structures for impact absorption." Computers & Structures 174 (October 2016): 3–20. http://dx.doi.org/10.1016/j.compstruc.2015.06.017.

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Shnaidman, V. M., and R. Sh Zhemukhov. "Environmental Aspects in Mathematical Modeling of Irrigation Systems Planning." Water Science and Technology 26, no. 5-6 (September 1, 1992): 1439–47. http://dx.doi.org/10.2166/wst.1992.0587.

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This paper deals with applying computer-oriented technology while selecting water and land resources management strategies lor irrigation systems with special reference to environmental aspects. The technology is based on a system of coordinated mathematical models. The system includes a simulation model of irrigation system functioning, a model for irrigation water demand computation, a set of simplified mathematical models of the anthropogenic impact, viz. soil salinization, non-point pollutions from agricultural plots, rising level of subsurface water and its mineralization. The system also takes into account equations for crop yields as functions of both water consumption and fertilization. This makes it possible to analyze various strategies of irrigation system management with the help of a multicriterial procedure. The models are described in sufficient detail and a computation example is given.
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Haq, Ihtisham Ul, Nigar Ali, and Shabir Ahmad. "A fractional mathematical model for COVID-19 outbreak transmission dynamics with the impact of isolation and social distancing." Mathematical Modelling and Control 2, no. 4 (2022): 228–42. http://dx.doi.org/10.3934/mmc.2022022.

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<abstract><p>The Covid illness (COVID-19), which has emerged, is a highly infectious viral disease. This disease led to thousands of infected cases worldwide. Several mathematical compartmental models have been examined recently in order to better understand the Covid disease. The majority of these models rely on integer-order derivatives, which are incapable of capturing the fading memory and crossover behaviour observed in many biological phenomena. Similarly, the Covid disease is investigated in this paper by exploring the elements of COVID-19 pathogens using the non-integer Atangana-Baleanu-Caputo derivative. Using fixed point theory, we demonstrate the existence and uniqueness of the model's solution. All basic properties for the given model are investigated in addition to Ulam-Hyers stability analysis. The numerical scheme is based on Lagrange's interpolation polynomial developed to estimate the model's approximate solution. Using real-world data, we simulate the outcomes for different fractional orders in Matlab to illustrate the transmission patterns of the present Coronavirus-19 epidemic through graphs.</p></abstract>
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