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1

John, N. Igabari. "The Population Question in Nigeria: Models and Reliable Projections." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–10. https://doi.org/10.9734/ARJOM/2017/33989.

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The question of Nigeria’s actual population has remained a very sensitive one within the country because there are very obvious constitutional advantages of large populations conferred on constituent parts of the Nation. This sensitivity has made it increasingly difficult to conduct a credible census exercise, and this means having to depend on projections and estimates. Projections may not take into exact account so many salient social, demographic and environmental factors that could influence or alter the nature of population abundance and structure. Along this line of reasoning, this paper
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2

Mohamad Radzi, Nurul Ashikin, Haliza Abd Rahman, Shariffah Suhaila Syed Jamaludin, and Arifah Bahar. "Exponential Growth Model and Stochastic Population Models: A Comparison via Population Data." Malaysian Journal of Fundamental and Applied Sciences 18, no. 1 (2022): 60–69. http://dx.doi.org/10.11113/mjfas.v18n1.2402.

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A population dynamic model explains the changes of a population in the near future, given its current status and the environmental conditions that the population is exposed to. In modelling a population dynamic, deterministic model and stochastic models are used to describe and predict the observed population. For modelling population size deterministic model may provide sufficient biological understanding about the system, but if the population numbers do become small, then a stochastic model is necessary with certain conditions. In this study, both types of models such exponential, discrete-
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3

Awadalla, Muath, Yves Yannick Yameni Noupoue, and Kinda Abu Asbeh. "Psi-Caputo Logistic Population Growth Model." Journal of Mathematics 2021 (July 26, 2021): 1–9. http://dx.doi.org/10.1155/2021/8634280.

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This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories. A fractional derivative known as psi-Caputo plays a substantial role in the study. We proved existence and uniqueness of the solution to the problem using the psi-Caputo fractional derivative. The Chinese population, whose carrying capacity, K, tends to infinity, is used as evidence to prove that the proposed approach is appropriate and performs better than the usual logistic growth equation for a populatio
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4

T. Alkahtani, Badr Saad, Abdon Atangana, and Ilknur Koca. "New nonlinear model of population growth." PLOS ONE 12, no. 10 (2017): e0184728. http://dx.doi.org/10.1371/journal.pone.0184728.

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5

Montiel-Arzate, Elia, Hector Echavarrı́a-Heras, and Cecilia Leal-Ramı́rez. "A functionally diverse population growth model." Mathematical Biosciences 187, no. 1 (2004): 21–51. http://dx.doi.org/10.1016/j.mbs.2003.08.009.

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6

Rodin, E. Y., and R. T. Williams. "A matrix model of population growth." Mathematical and Computer Modelling 10, no. 4 (1988): 299–306. http://dx.doi.org/10.1016/0895-7177(88)90007-6.

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7

Vance, R. R., and E. A. Coddington. "A nonautonomous model of population growth." Journal of Mathematical Biology 27, no. 5 (1989): 491–506. http://dx.doi.org/10.1007/bf00288430.

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8

Budoor, Mohammed Abdelati*1 Sara Nor EldeenSuliman*2. "STOCHASTIC POPULATION GROWTH MODEL USING MATLAB." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 7, no. 1 (2020): 8–16. https://doi.org/10.5281/zenodo.3600211.

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The main objective of this paper is to study the stochastic population growth model, The stochastic population is Stochastic process driven by noise or Brownian motion, and we comparative between the simulation of the deterministic model and Stochastic model by MATLAB.
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9

Muntafi’ah, Naailah, Agung Prabowo, and Suroto. "Application of the Leslie Matrix Model in Predicting Population Growth Rates and Livestock Harvesting." International Journal of Mathematics, Statistics, and Computing 3, no. 2 (2025): 54–60. https://doi.org/10.46336/ijmsc.v3i2.204.

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Leslie matrix model is a population growth model that can be used to predict the number and growth rate of populations that are female in population and female in animals. In animal populations, the Leslie matrix can be used in harvesting. This study aims to apply the Leslie matrix model to predict the number and growth rate of female cattle and determine the proportion of female cattle population harvesting. The female cattle populations used were female dairy cattle and female beef cattle. The results showed that the prediction of female dairy cattle population in 2022 - 2025 decreased every
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10

O. Aiyedogbon, John, Sarah O. Anyanwu, Grace Hezekiah Isa, Yuriy Petrushenko, and Olena Zhuravka. "Population growth and food security: Evidence from Nigeria." Problems and Perspectives in Management 20, no. 2 (2022): 402–10. http://dx.doi.org/10.21511/ppm.20(2).2022.33.

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The average agriculture output growth between 2011–2020, which stood at 3.5% against the backdrop of over 2.6% population growth rate, accounts for the present food insecurity, hunger, and malnutrition in Nigeria. The study aims to examine the impact of population growth on food security in Nigeria with data covering 1986–2020. The study employed two models: the first model analyzed agriculture output as a function of population growth rate. The second model examined the impact of population growth and agriculture productivity on economic growth. The Cochrane-Orcutt iterative method on an ordi
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11

Khodabin, Morteza, and Neda Kiaee. "Stochastic Dynamical Theta-Logistic Population Growth Model." SOP Transactions on Statistics and Analysis 2014, no. 3 (2014): 1–15. http://dx.doi.org/10.15764/stsa.2014.03001.

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12

Tiebout, Charles M. "COMMUNITY INCOME MULTIPLIERS: A POPULATION GROWTH MODEL‡." Journal of Regional Science 2, no. 1 (2006): 75–84. http://dx.doi.org/10.1111/j.1467-9787.1960.tb00836.x.

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13

Kajanovičová, Viktória, Branislav Novotný, and Michal Pospíšil. "Ramsey model with non-constant population growth." Mathematical Social Sciences 104 (March 2020): 40–46. http://dx.doi.org/10.1016/j.mathsocsci.2020.01.004.

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14

Ribeiro, Fabiano L., and Kayo N. Ribeiro. "A one dimensional model of population growth." Physica A: Statistical Mechanics and its Applications 434 (September 2015): 201–10. http://dx.doi.org/10.1016/j.physa.2015.03.021.

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15

DE, S. "Stochastic model of population growth and spread." Bulletin of Mathematical Biology 49, no. 1 (1987): 1–11. http://dx.doi.org/10.1016/s0092-8240(87)80032-0.

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16

Jablanovic, Vesna, and Nada Lakic. "A chaotic growth model of agricultural population." Journal of Agricultural Sciences, Belgrade 47, no. 1 (2002): 97–103. http://dx.doi.org/10.2298/jas0201097j.

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Using the autoregression models, the paper considers movement of agricultural population. Irregular movement of agricultural population can be analyzed within the formal framework of the chaotic growth model. The basic aims of this paper are: firstly, to set up a chaotic growth model of agricultural population; and secondly, to analyze the stability of agricultural population movement according to the presented logistic growth model in the world and eight group of countries in the period 1967-1997.
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17

Xuan, Hai Yan, An Qi Zhang, and Na Na Yang. "A Model in Chinese Population Growth Prediction." Applied Mechanics and Materials 556-562 (May 2014): 6811–14. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.6811.

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Firstly, we calculated several statistics relating to the population forecast. Secondly, ba-sed on the Logistic prediction models, against Logistic model defects, we obtained the improved prediction model. Finally, using China's total population in 2004 as the initial population, we predict the total population of China in the next 30 years and in 2050 year by applying the model.
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18

De, S. S. "Stochastic model of population growth and spread." Bulletin of Mathematical Biology 49, no. 1 (1987): 1–11. http://dx.doi.org/10.1007/bf02459957.

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19

Simpson, Matthew J., Alexander P. Browning, David J. Warne, Oliver J. Maclaren, and Ruth E. Baker. "Parameter identifiability and model selection for sigmoid population growth models." Journal of Theoretical Biology 535 (February 2022): 110998. http://dx.doi.org/10.1016/j.jtbi.2021.110998.

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20

Diez, Pedro J. Gutiérrez. "Population, immigration and growth in a Romer endogenous growth model." Global Business and Economics Review 20, no. 5/6 (2018): 679. http://dx.doi.org/10.1504/gber.2018.094433.

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21

Gutiérrez Diez, Pedro J. "Population, immigration and growth in a Romer endogenous growth model." Global Business and Economics Review 20, no. 5/6 (2018): 679. http://dx.doi.org/10.1504/gber.2018.10014905.

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22

Jiao, Yan, Richard Neves, and Jess Jones. "Models and model selection uncertainty in estimating growth rates of endangered freshwater mussel populations." Canadian Journal of Fisheries and Aquatic Sciences 65, no. 11 (2008): 2389–98. http://dx.doi.org/10.1139/f08-141.

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Appropriate inference of population status for endangered species is extremely important. Using a single model for estimating population growth rates is typically inadequate for assessing endangered species because inferences based on only one “best” model ignore model uncertainty. In this study, the endangered dromedary pearlymussel ( Dromus dromas ) in the Clinch and Powell rivers of eastern Tennessee, USA, was used as an example to demonstrate the importance of multiple models, with consideration of environmental noises for evaluating population growth. Our results showed that more than one
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23

Laila, Umi, Rifa Nurhayati, Tyas Utami, and Endang Sutriswati Rahayu. "Prediction of Microbial Population in Sorghum Fermentation through Mathematical Models." Reaktor 19, no. 4 (2019): 152–61. http://dx.doi.org/10.14710/reaktor.19.4.152-161.

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The mathematical models can be used as a tool in predicting microbial population in sorghum fermentation, either spontaneous fermentation or fermentation with the addition of lactic acid bacteria (LAB) inoculum. Gompertz model modified by Gibson, Gompertz model modified by Zwietering, Baranyi-Robert model, Fujikawa model, Richards model, Schnute model were used in predicting the growth of lactic acid bacteria (LAB) and coliform bacteria during spontaneous fermentation, and also the growth of LAB during fermentation with the addition of inoculum. Meanwhile, there was death (inactivation) of col
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24

Ugbor, EP, Okoye CI Prof, FE Ozioko, et al. "Design and Implementation of a Model for Population Forecasting." Journal of Scientific and Engineering Research 10, no. 5 (2023): 310–15. https://doi.org/10.5281/zenodo.10459018.

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<strong>Abstract </strong>This paper tends to develop a model for population forecasting. With the objective to analyze the features of existing population census in Nigeria and carry out a comparative difference between the manual calculation system and the computerized system design. The methodology and assumption used for developing population forecast model where developed with Fund Growth model of population.&nbsp; The accuracy of the census Bureau&rsquo;s forecasting efforts apparently has improved during the past two decade, this work is done with the aim of&nbsp; studying all the proce
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25

Bucci, Alberto, and Xavier Raurich. "Population and Economic Growth Under Different Growth Engines." German Economic Review 18, no. 2 (2017): 182–211. http://dx.doi.org/10.1111/geer.12092.

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Abstract Using a growth model with physical capital accumulation, human capital investment and horizontal R&amp;D activity, this paper proposes an alternative channel through which an increase in the population growth rate may yield a non-uniform (i.e., a positive, negative, or neutral) impact on the long-run growth rate of per-capita GDP, as available empirical evidence seems mostly to suggest. The proposed mechanism relies on the nature of the process of economic growth (whether it is fully or semi-endogenous), and the peculiar engine(s) driving economic growth (human capital investment, R&a
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26

LEMOS, CARLOS GENTIL ORO, and MARCIO SANTOS. "SEXUAL REPRODUCTION IN A SIMPLE GROWTH POPULATION MODEL." International Journal of Modern Physics C 23, no. 05 (2012): 1250022. http://dx.doi.org/10.1142/s0129183112500222.

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One of the most important characteristics in the survival of a species is related to the kind of reproduction responsible for the offspring generation. However, only in the last years the role played by sexual reproduction has been investigated. Then, for a better understanding of this kind of process we introduce, in this work, a surface reaction model that describes the role of the sexual reproduction. In our model two different elements of the species, representing male and female, can interact to reproduce a new element. The sex of this new element is chosen with a given probability and in
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27

Ariza-Hernandez, Francisco J., Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre, and Luis X. Vivas-Cruz. "Bayesian Analysis for a Fractional Population Growth Model." Journal of Applied Mathematics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/9654506.

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We implement the Bayesian statistical inversion theory to obtain the solution for an inverse problem of growth data, using a fractional population growth model. We estimate the parameters in the model and we make a comparison between this model and an exponential one, based on an approximation of Bayes factor. A simulation study is carried out to show the performance of the estimators and the Bayes factor. Finally, we present a real data example to illustrate the effectiveness of the method proposed here and the pertinence of using a fractional model.
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28

Cayssials, Gaston, and Santiago Picasso. "The Solow-Swan model with endogenous population growth." Journal of Dynamics & Games 7, no. 3 (2020): 197–208. http://dx.doi.org/10.3934/jdg.2020014.

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29

Pedro, Francielle Santo, Laécio Carvalho de Barros, and Estevão Esmi. "Population growth model via interactive fuzzy differential equation." Information Sciences 481 (May 2019): 160–73. http://dx.doi.org/10.1016/j.ins.2018.12.076.

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30

Fay, Rémi, Stephanie Michler, Jacques Laesser, and Michael Schaub. "Integrated population model reveals that kestrels breeding in nest boxes operate as a source population." Ecography 42, no. 12 (2019): 2122–31. https://doi.org/10.5281/zenodo.4080873.

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<strong>Abstract</strong> The identification of the source&ndash;sink status of a population is critical for the establishment of conservation plans and enacting smart management decisions. We developed an integrated population model to formally assess the source status of a kestrel <em>Falco tinnunculus</em> population breeding in nest boxes in Switzerland. We estimated juvenile and adult survival, reproduction and net dispersal (emigration/immigration) by jointly analyzing capture&ndash;recapture, dead recovery, breeding monitoring and population survey data. We also investigated the role of
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31

Wahyu Dwi Cahyani and Elin Herlinawati. "Population Projection in Bantul Regency with Malthusian Growth Model and Verhulst Growth." Proceeding International Seminar of Science and Technology 4 (April 17, 2025): 1–14. https://doi.org/10.33830/isst.v4i1.5221.

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Population growth has positive and negative impacts in Indonesia. One of the negativeimpacts of high population growth is that the government will need help with regional needs relatedto food, housing, facilities, infrastructure, etc., if it is not balanced with quality human resources. Thisimpact can be minimized by projecting the population and analyzing population growth trends in thatregion so that the government can anticipate by developing strategies to prepare for needs in thatregion in the next few years. In this paper, we use the Malthusian and Verhulst Growth Models tomodel populatio
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32

Robbaniyyah, Nuzla Af'idatur, Mutia Dewi Anjani, Ni Wayan Eka Lansuna, and Ivan Luthfi Ihwani. "Mathematical Model of Differential Equations to Population Growth Models with Limited Growth in West Nusa Tenggara Province." EIGEN MATHEMATICS JOURNAL 7, no. 2 (2024): 108–12. https://doi.org/10.29303/emj.v7i2.223.

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Differential equations are often a topic in the field of mathematics which has many applications in mathematical modeling, one of which is population growth. Research on population growth is of course important for an area because the results of this research can be used in issuing policies such as maintaining the availability of agricultural land, places to live, and many others. In this study, the mathematical model of differential equations was used to find a population growth model for the West Nusa Tenggara Province, then the model was verified and calculations were carried out using the
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33

Elizabeth, Sebastian, and Victor Preethi. "A MATHEMATICAL MODEL ON INDUSTRIALIZATION DUE TO HUMAN POPULATION." International Journal of Current Research and Modern Education, Special Issue (August 13, 2017): 38–42. https://doi.org/10.5281/zenodo.842202.

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In this paper, a nonlinear mathematical model is proposed and analyzed to study the Industrialization due to human population. We consider the variables namely, density of the human population and the Industries. We consider that the growth rate of industries is dependent on the density of human population. It is noted that for sustained industrialization, control measures on its growth are required to maintain the ecological stability. We discretize the model by applying Backward Euler method and analyse the stability of the model. Finally, we provide some numerical simulations using MATLAB.
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34

BINTZ, JASON, and SUZANNE LENHART. "OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL." Journal of Biological Systems 28, no. 04 (2020): 945–76. http://dx.doi.org/10.1142/s0218339020500230.

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The spatial distribution of resources for diffusive populations can have a strong effect on population abundance. We investigate the optimal allocation of resources for a diffusive population. Population dynamics are represented by a parabolic partial differential equation with density-dependent growth and resources are represented through their space- and time-varying influence on the growth function. We consider both local and integral constraints on resource allocation. The goal is to maximize the abundance of the population while minimizing the cost of resource allocation. After characteri
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35

BINTZ, JASON, and SUZANNE LENHART. "OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL." Journal of Biological Systems 28, no. 04 (2020): 945–76. http://dx.doi.org/10.1142/s0218339020500230.

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The spatial distribution of resources for diffusive populations can have a strong effect on population abundance. We investigate the optimal allocation of resources for a diffusive population. Population dynamics are represented by a parabolic partial differential equation with density-dependent growth and resources are represented through their space- and time-varying influence on the growth function. We consider both local and integral constraints on resource allocation. The goal is to maximize the abundance of the population while minimizing the cost of resource allocation. After characteri
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36

Pratama, Rian Ade, A. Muh Amil Siddik, Oswaldus Dadi, and Kasbawati Kasbawati. "Hydra effects predator-prey bazykin's model with stage-structure and intraspecific for predator." Desimal: Jurnal Matematika 5, no. 3 (2022): 279–88. http://dx.doi.org/10.24042/djm.v5i3.13160.

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Bazykin's predator-prey population model is considered to represent the exchange stability condition of population growth. The existence of the hydra effect and, at the same time, analyzing its influence on population growth. The condition of the model divides the species into a stage structure, namely, prey, immature predators, and mature predators. The population growth of the three species has its own characteristics. This research revealed that the Holling type II and intraspecific predatory function responses together induce the Hydra effect. In the model formed, there are 12 equilibrium
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37

Mr., HABAKURAMA Elie, and MUKANYANDWI Francine Mr. "Contribution of Population Growth on Economic Growth in Rwanda (1992-2022)." International Journal of Current Science Research and Review 07, no. 04 (2024): 2293–300. https://doi.org/10.5281/zenodo.11076437.

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Abstract : This study examines the impact of changes in population size on economic growth in Rwanda between 1992 and 2022. The research methodology involves the use of secondary data from World Bank development indicators. The key variables analysed include population size, gross capital formation expenditure, and gross domestic product growth rate. A multivariate time series analysis was used to examine the impact of population on economic growth in this study. Diagnostic tests were conducted, and the results indicated that the model was sound. The variables were not significantly affected b
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38

Zhulego, Vladimir, Artem Balyakin, and Mikhail Sorokin. "Convergence and depopulation processes in the Center-Periphery system." Population 26, no. 2 (2023): 30–39. http://dx.doi.org/10.19181/population.2023.26.2.3.

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The paper proposes advancement of a stratum demographic model characterized by the presence of two strata — the Center and the Periphery, which are different in respects of their way of life, development level and social values. The processes of convergence and depopulation in the heterogeneous system of the Center-Periphery type were studied. Various variants of “catch-up development” of the Periphery are considered within the framework of numerical simulation. Modes of economic growth that contribute to the convergence of income levels in the countries of the Center and the Periphery are ind
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39

Muliyani, N., R. Ratianingsih, and N. Nacong. "ANALISIS KESTABILAN MODEL MATEMATIKA PENYEBARAN PENYAKIT SIFILIS PADA MANUSIA." JURNAL ILMIAH MATEMATIKA DAN TERAPAN 15, no. 1 (2018): 1–10. http://dx.doi.org/10.22487/2540766x.2018.v15.i1.10189.

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Syphilis is a sexually transmitted infection caused by the bacterium Treponema pallidum spiroset subspecies pallidum. Transmitted through sexual contact, the infection can also be transfered from mother to fetus during pregnancy or at birth, that causes congenital syphilis. The mathematical model that represents the spread of the disease was adapted from a mathematical model SEI. The model classifiles human population into vulnerable suscepted women and men, Exposed , and Infected , sub-populations of women vulnerable , sub-populations women incubation period , sub-populations of women infecte
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40

Loibel, Selene, Marinho G. Andrade, João B. R. do Val, and Alfredo R. de Freitas. "Richards growth model and viability indicators for populations subject to interventions." Anais da Academia Brasileira de Ciências 82, no. 4 (2010): 1107–26. http://dx.doi.org/10.1590/s0001-37652010000400028.

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In this work we study the problem of modeling identification of a population employing a discrete dynamic model based on the Richards growth model. The population is subjected to interventions due to consumption, such as hunting or farming animals. The model identification allows us to estimate the probability or the average time for a population number to reach a certain level. The parameter inference for these models are obtained with the use of the likelihood profile technique as developed in this paper. The identification method here developed can be applied to evaluate the productivity of
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41

Wei Bin, Zhang. "Population growth and gender time distribution in a small-open growth model." Journal of Economics and International Finance 7, no. 6 (2015): 144–50. http://dx.doi.org/10.5897/jeif2015.0643.

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42

Karras, Georgios. "Land and population growth in the Solow growth model: Some empirical evidence." Economics Letters 109, no. 2 (2010): 66–68. http://dx.doi.org/10.1016/j.econlet.2010.08.019.

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43

Han, Shiqi. "Plant Community Changes Based on The Lotka-Volterra Model." Highlights in Science, Engineering and Technology 63 (August 8, 2023): 111–16. http://dx.doi.org/10.54097/hset.v63i.10856.

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Globally, ecosystem functions are threatened by repeated droughts and declining plant diversity. Due to frequent droughts, the species in the plant community show different adaptions towards the extreme weather conditions. The aim of this report is to explore how the plant community changes over time. Considering the growth law of population, establish the model of precipitation and plant growth rate based on the Logistic function. Moreover, considering the competition and interaction between populations, this paper chooses the Lotka-Volterra model and adapt it, then use the improved Euler met
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44

Ai, Xiya. "Optimal Global Population Analysis Based on Solow Growth Model." Advances in Economics and Management Research 12, no. 1 (2024): 226. https://doi.org/10.56028/aemr.12.1.226.2024.

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Over the past century, the global population has increased dramatically, reaching around eight billion people. There has been a decrease in population growth rates in both developed and developing countries in recent years. Scholars have worked hard to calculate the optimal proportion of the global population, but the results vary widely among different scholars. This paper examines the global optimal population using a Lagrange Multiplier Optimization model based on the Solow exogenous growth model and utility maximization theory. Finally, the results showed that as opportunity costs of using
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45

AGARWAL, MANJU, and SAPNA DEVI. "A RESOURCE-DEPENDENT COMPETITION MODEL: EFFECTS OF POPULATION PRESSURE AUGMENTED INDUSTRIALIZATION." International Journal of Modeling, Simulation, and Scientific Computing 03, no. 02 (2012): 1250003. http://dx.doi.org/10.1142/s1793962312500031.

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In this paper, a nonlinear mathematical model is proposed and analyzed to study the effects of population pressure augmented industrialization on the survival of competing species dependent on resource. It is assumed that the growths of competing species are logistic and carrying capacities increase with increase in the density of resource biomass. Further, it is assumed that the resource biomass too is growing logistically in the environment and its carrying capacity decreases with the increase in densities of competing species and industrialization. The growth rate of population pressure is
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46

Moen, Ron, Yosef Cohen, and John Pastor. "Linking Moose Population and Plant Growth Models with a Moose Energetics Model." Ecosystems 1, no. 1 (1998): 52–63. http://dx.doi.org/10.1007/s100219900005.

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47

Bomfim, Maria Eduarda de Jesus, Claudiane de Lima Braz, Vanderléia dos Santos Conceição, et al. "Exponential growth model of weevil populations: a didactic experiment for undergraduate course of Population Ecology." Acta Scientiarum. Biological Sciences 46 (August 27, 2024): e69261. http://dx.doi.org/10.4025/actascibiolsci.v46i1.69261.

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Exponential model for population growth (exponential model) is a foundation to evaluate population dynamics in Population Ecology field. Here, we used a didactic experiment to teach exponential model for an undergraduate course of Population Ecology. We built nine populations of weevils with three different initial population sizes: eight, 16, and 32 individuals with three replicates each. We provided equal food resource availability, and counted their population sizes weekly for 12 weeks. We estimated the intrinsic growth rate (i.e., r parameter), by trials and errors with an exponential mode
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48

Shakirova, Alisa, and Elena Demkina. "Conceptualization of the efficiency model of the institution of social protection of population (Part 1)." Population 24, no. 1 (2021): 66–76. http://dx.doi.org/10.19181/population.2021.24.1.7.

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Abstract:
Today, we are faced with the coronavirus (COVID-19) pandemic, which directly or indirectly affected all countries and regions of the world. The State policy of all countries is aimed at containing the spread of the virus and meeting the basic needs of people in forced isolation. This situation has once again proved the importance of the institution of social protection of population (hereinafter—ISPP) and the need to ensure the efficiency of its functioning. The high rates of growth of social changes, in turn, cause a certain lag behind the process of their scientific comprehension accumulatio
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49

Shakirova, Alisa, and Elena Demkina. "Conceptualization of the efficiency model of the institution of social protection of population (Part 2)." Population 24, no. 2 (2021): 97–108. http://dx.doi.org/10.19181/population.2021.24.2.9.

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Abstract:
Today we are faced with the coronavirus (COVID-19) pandemic, which directly or indirectly has affected all countries and regions of the world. The state policy of all countries is aimed at containing the spread of the virus and meeting the basic needs of people in forced isolation. This situation has once again proved the importance of the institution of social protection of population (hereinafter—ISPP) and the need to ensure the efficiency of its functioning. The high growth rates of social changes, in turn, cause a certain lagging behind the process of their scientific comprehension — pilin
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50

Haliki, Emir. "A dynamic network model for population growth and urbanization." Cumhuriyet Science Journal 40, no. 4 (2019): 896–901. http://dx.doi.org/10.17776/csj.632996.

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