Academic literature on the topic 'Lotka-Volterra systems'
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Journal articles on the topic "Lotka-Volterra systems"
Bogoyavlenskij, O. I. "Integrable Lotka-Volterra systems." Regular and Chaotic Dynamics 13, no. 6 (December 2008): 543–56. http://dx.doi.org/10.1134/s1560354708060051.
Full textChristie, J. R., K. Gopalsamy, and Jibin Li. "Chaos in perturbed Lotka-Volterra systems." ANZIAM Journal 42, no. 3 (January 2001): 399–412. http://dx.doi.org/10.1017/s1446181100012025.
Full textMukhamedov, Farrukh, and Izzat Qaralleh. "Controlling Problem within a Class of Two-Level Positive Maps." Symmetry 14, no. 11 (October 31, 2022): 2280. http://dx.doi.org/10.3390/sym14112280.
Full textRedheffer, Ray. "Nonautonomous Lotka–Volterra Systems, I." Journal of Differential Equations 127, no. 2 (May 1996): 519–41. http://dx.doi.org/10.1006/jdeq.1996.0081.
Full textRedheffer, Ray. "Nonautonomous Lotka–Volterra Systems, II." Journal of Differential Equations 132, no. 1 (November 1996): 1–20. http://dx.doi.org/10.1006/jdeq.1996.0168.
Full textFeng, Chunhua, and Jianmin Huang. "Almost periodic solutions of nonautonomous Lotka–Volterra competitive systems with dominated delays." International Journal of Biomathematics 08, no. 02 (February 25, 2015): 1550019. http://dx.doi.org/10.1142/s1793524515500199.
Full textFernandez, Juan C. Gutierrez, and Claudia I. Garcia. "On Lotka–Volterra algebras." Journal of Algebra and Its Applications 18, no. 10 (August 6, 2019): 1950187. http://dx.doi.org/10.1142/s0219498819501871.
Full textNAKATA, YUKIHIKO. "PERMANENCE FOR THE LOTKA–VOLTERRA COOPERATIVE SYSTEM WITH SEVERAL DELAYS." International Journal of Biomathematics 02, no. 03 (September 2009): 267–85. http://dx.doi.org/10.1142/s1793524509000716.
Full textHou, Zhanyuan. "Permanence criteria for Kolmogorov systems with delays." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 3 (May 16, 2014): 511–31. http://dx.doi.org/10.1017/s0308210512000297.
Full textValero, José. "A Weak Comparison Principle for Reaction-Diffusion Systems." Journal of Function Spaces and Applications 2012 (2012): 1–30. http://dx.doi.org/10.1155/2012/679465.
Full textDissertations / Theses on the topic "Lotka-Volterra systems"
Salih, Rizgar Haji. "Hopf bifurcation and centre bifurcation in three dimensional Lotka-Volterra systems." Thesis, University of Plymouth, 2015. http://hdl.handle.net/10026.1/3504.
Full textRamírez, Sadovski Valentín. "Qualitative theory of differential equations in the plane and in the space, with emphasis on the center-focus and on the Lotka-Volterra systems." Doctoral thesis, Universitat Autònoma de Barcelona, 2019. http://hdl.handle.net/10803/669890.
Full textSogoni, Msimelelo. "The paradox of enrichment in predator-prey systems." University of Western Cape, 2020. http://hdl.handle.net/11394/7737.
Full textIn principle, an enrichment of resources in predator-prey systems show prompts destabilisation of a framework, accordingly, falling trophic communication, a phenomenon known to as the \Paradox of Enrichment" [54]. After it was rst genius postured by Rosenzweig [48], various resulting examines, including recently those of Mougi-Nishimura [43] as well as that of Bohannan-Lenski [8], were completed on this problem over numerous decades. Nonetheless, there has been a universal none acceptance of the \paradox" word within an ecological eld due to diverse interpretations [51]. In this dissertation, some theoretical exploratory works are being surveyed in line with giving a concise outline proposed responses to the paradox. Consequently, a quantity of di usion-driven models in mathematical ecology are evaluated and analysed. Accordingly, piloting the way for the spatial structured pattern (we denote it by SSP) formation in nonlinear systems of partial di erential equations [36, 40]. The central point of attention is on enrichment consequences which results toward a paradoxical state. For this purpose, evaluating a number of compartmental models in ecology similar to those of [48] will be of great assistance. Such displays have greater in uence in pattern formations due to diversity in meta-population. Studying the outcomes of initiating an enrichment into [9] of Braverman's model, with a nutrient density (denoted by n) and bacteria compactness (denoted by b) respectively, suits the purpose. The main objective behind being able to transform [9]'s system (2.16) into a new model as a result of enrichment. Accordingly, n has a logistic- type growth with linear di usion, while b poses a Holling Type II and nonlinear di usion r2 nb2 [9, 40]. Five fundamental questions are imposed in order to address and guide the study in accordance with the following sequence: (a) What will be the outcomes of introducing enrichment into [9]'s model? (b) How will such a process in (i) be done in order to change the system (2.16)'s stability state [50]? (c) Whether the paradox does exist in a particular situation or not [51]? Lastly, (d) If an absurdity in (d) does exist, is it reversible [8, 16, 54]? Based on the problem statement above, the investigation will include various matlab simulations. Therefore, being able to give analysis on a local asymptotic stability state when a small perturbation has been introduced [40]. It is for this reason that a bifurcation relevance comes into e ect [58]. There are principal de nitions that are undertaken as the research evolves around them. A study of quantitative response is presented in predator-prey systems in order to establish its stability properties. Due to tradeo s, there is a great likelihood that the growth rate, attack abilities and defense capacities of species have to be examined in line with reviewing parameters which favor stability conditions. Accordingly, an investigation must also re ect chances that leads to extinction or coexistence [7]. Nature is much more complex than scienti c models and laboratories [39]. Therefore, di erent mechanisms have to be integrated in order to establish stability even when a system has been under enrichment [51]. As a result, SSP system is modeled by way of reaction-di usion di erential equations simulated both spatially and temporally. The outcomes of such a system will be best suitable for real-world life situations which control similar behaviors in the future. Comparable models are used in the main compilation phase of dissertation and truly re ected in the literature. The SSP model can be regarded as between (2018-2011), with a stability control study which is of an original.
Kishimoto, André. "Uso de sistemas dinâmicos como mecânica em jogos digitais que possuem viagem no tempo." Universidade Presbiteriana Mackenzie, 2014. http://tede.mackenzie.br/jspui/handle/tede/1446.
Full textInstituto Presbiteriano Mackenzie
In digital game development, it is not uncommon to split the development process in three stages: pre-production, production and post-production. Game planning occurs in pre-production, in which game concept ideas are discussed and defined. In this stage, developers start working on the game design, describing what the game is about, its theme, number of players, game objectives, and others. Game design also includes game mechanics,which describes game rules, what players can and cannot do and how the game systems work. The production stage involves coding and asset creation that are used to build the game. Once the game is done, developers reach the post-production stage, shipping the game and entering the maintenance phase (bug fixing and updates). As for systems, it is possible to model a system using mathematical equations and verify its behaviour via temporal analysis. From this, this thesis aimed to evaluate the possibility of using dynamical systems as a tool to help defining game mechanics for digital games, including definition and analysis of agents and objects and their interaction via temporal analysis of the system. The time travel concept was included to offer players the ability to modify the initial parameters of the system modelled in a game, as a way to solve the challenges and problems presented in the game by changing the system behaviour over time. A digital game was developed as proof of concept, and its mechanics was based on the Lotka-Volterra model with logistic growth, applied to a three-species food chain. An agent-based three-species prey-predator model was also included in the game, and both models' behavior and outcome were compared. A pretest was taken by 11 users to evaluate the use of dynamical system as game mechanics as well as the time travel feature available in the game developed in this thesis. The proof of concept was evaluated and, together with the pretest results, it was confirmed that dynamical systems as game mechanics is possible, as it establishes the relationship between species and set the rules of temporal evolution for the game.
Na área de desenvolvimento de jogos digitais, costuma-se dividir o processo de desenvolvimento em três etapas: pré-produção, produção e pós-produção. A pré-produção envolve o planejamento do jogo, em que conceitos sobre este são discutidos e a ideia a ser desenvolvida é selecionada. Nessa etapa, começa o trabalho de game design (projeto de jogo), no qual se define sobre o que é o jogo, o tema, quantidade de jogadores, objetivos, entre outros. Um dos elementos de jogo definido no game design é a mecânica, que indica as regras e funcionamento do jogo. A produção é a etapa em que código e recursos áudiovisuais săo criados a fim de construir o jogo elaborado na pré-produção. Após o jogo ser desenvolvido, entra-se na etapa de pós-produção, com a distribuição do jogo e manutenção (correções posteriores e atualizações). Quanto ao funcionamento de um sistema real ou fictício, é possível modelar um sistema por meio de equações matemáticas e analisar seu comportamento a partir da evolução temporal. A partir disso, este trabalho teve como objetivo avaliar a possibilidade do uso de sistemas dinâmicos como ferramenta para elaboração da mecânica de jogos digitais, a fim de definir e analisar comportamentos de agentes e objetos e suas interações por meio da evolução temporal do sistema. Propôs-se a inclusão de viagem no tempo para permitir que o jogador modificasse parâmetros iniciais do sistema modelado, redefinindo o comportamento do sistema com o passar do tempo, com o objetivo de solucionar os desafios e problemas dispostos no âmbito do jogo. Para a realização da prova de conceito foi desenvolvido um jogo digital, sendo que aplicou-se como mecânica o modelo de Lotka-Volterra com crescimento logístico para uma cadeia alimentar de três espécies, assim como um sistema presa-predador baseado em agentes, a fim de comparar o funcionamento e comportamento de ambos os modelos. Realizou-se um teste preliminar com 11 usuários para avaliar o jogo desenvolvido na presente pesquisa quanto ao uso de sistemas dinâmicos como mecânica e ŕ funcionalidade de viagem no tempo. Com a análise da prova de conceito e resultados obtidos com o teste preliminar, confirmou-se a possibilidade de aplicação de sistemas dinâmicos como mecânica em jogos digitais, sendo possível estabelecer a relação entre espécies e definir as regras de evolução temporal no âmbito do jogo.
Uechi, Risa. "Modeling of Biological and Economical Phenomena Based on Analysis of Nonlinear Competitive Systems." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199432.
Full textAhlip, Rehez Ajmal. "Stability & filtering of stochastic systems." Thesis, Queensland University of Technology, 1997.
Find full textBeck, Mélanie. "Symplectic methods applied to the Lotka-Volterra system." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=19583.
Full textAlmeida, Mafalda Oliveira Martins Bastos de. "The Lotka-Volterra equations in finance and economics." Master's thesis, Instituto Superior de Economia e Gestão, 2017. http://hdl.handle.net/10400.5/14240.
Full textAs equações de Lotka-Volterra, também conhecidas por equações de predador-presa, são um conjunto de equações diferencias não-lineares construídas para descrever a relação dinâmica entre espécies na natureza. No entanto, desde a sua publicação vários autores têm vindo a provar que estes sistemas dinâmicos têm diversas aplicações fora da área da biologia. Este trabalho tem como objetivo aprofundar as possíveis aplicações destas equações ao sistema bancário e à economia. Considerando o sistema bancário, estudamos três possíveis sistemas dinâmicos que podem descrever a relação entre o volume de depósitos e empréstimos num banco. Também apontamos as semelhanças entre um sistema bancário de três níveis e uma cadeia alimentar e estudamos a sua estabilidade. Olhando para as aplicações à economia, começamos por estudar o famoso modelo de Goodwin para ciclos de desemprego e crescimento dos ordenados. Para terminar, apresentamos um par de equações predador-presa que descrevem a relação entre bens capitais e bens de consumo, e concluímos que os ciclos económicos são endógenos, auto-sustentáveis e não-lineares.
The Lotka-Volterra equations, frequently referred to as predator-prey equations, are a set of non-linear differential equations constructed to describe the interaction dynamics between different species in nature. Yet, since their publication many authors have proved that the applications of these equations go way beyond mathematical biology. The present work focuses on their application to the banking system and to economics. Regarding the banking system, we study three dynamical systems that may describe the relationship between deposit and loan growth in a bank's balance sheet. In addition, we look at the resemblance between a three level ecological food chain and a three level banking system, and study its stability. As for the applications to economics, we study the famous Goodwin's model for the cyclic behavior of wages and employment. To finish our work we present a pair of predator-prey equations that model the dynamical relationship between consumption and capital goods, finding that economic cycles are endogenous, self-sustained and non-linear.
Mestrado em Mathematical Finance
info:eu-repo/semantics/publishedVersion
Kekulthotuwage, Don Shamika Prasadini. "Novel mathematical models and simulation tools for stochastic ecosystems." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/229974/1/Shamika%20Prasadini_Kekulthotuwage%20Don_Thesis.pdf.
Full textPiltz, Sofia Helena. "Models for adaptive feeding and population dynamics in plankton." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:811fd94d-d58e-48fa-8848-ad7dc37a099f.
Full textBooks on the topic "Lotka-Volterra systems"
Ahmad, Shair, and Ivanka M. Stamova, eds. Lotka-Volterra and Related Systems. Berlin, Boston: DE GRUYTER, 2013. http://dx.doi.org/10.1515/9783110269840.
Full textGlobal dynamical properties of Lotka-Volterra systems. Singapore: World Scientific, 1996.
Find full textLotka-Volterra and related systems: Recent developments in population dynamics. Berlin: De Gruyter, 2013.
Find full textUNESCO. Working Group on Systems Analysis. Meeting. Lotka-Volterra-approach to cooperation and competition in dynamic systems: Proceedings of the 5th Meeting of UNESCO's Working Group on System Theory held on the Wartburg, Eisenach (GDR), March 5-9, 1984. Berlin: Akademie-Verlag, 1985.
Find full textMeeting of UNESCO's Working Group on System Theory (5th 1984 Eisenach, Germany). Lotka-Volterra-approach to cooperation and competition in dynamic systems: Proceedings of the 5th Meeting of UNESCO'S Working Group on System Theory held on the Wartburg, Eisenach (GDR) March 5-9, 1984. Berlin: Akademie, 1985.
Find full textVoges, Jörg. Spieltheoretische Konzepte zur Untersuchung verallgemeinerter Lotka-Volterra-Systeme. Regensburg: S. Roderer, 1989.
Find full textUNESCO. Working Group on System Theory. Meeting. Lotka-Volterra-approach to cooperation and competitionin dynamic systems: Proceedings of the 5th Meeting of UNESCO'S Working Group on System Theory held on the Wartburg, Eisenach (GDR), March 5-9, 1984. Berlin: Akademie-Verlag, 1985.
Find full textAhmad, Shair, Ivanka M. Stamova, Zhanyuan Hou, Benedetta Lisena, and Marina Pireddu. Lotka-Volterra and Related Systems: Recent Developments in Population Dynamics. De Gruyter, Inc., 2013.
Find full textKhailov, Evgenii, Nikolai Grigorenko, Ellina Grigorieva, and Anna Klimenkova. Controlled Lotka-Volterra systems in the modeling of biomedical processes. LCC MAKS Press, 2021. http://dx.doi.org/10.29003/m2448.978-5-317-06681-9.
Full textBook chapters on the topic "Lotka-Volterra systems"
Hadeler, Karl-Peter. "Lotka–Volterra and Replicator Systems." In Topics in Mathematical Biology, 127–76. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65621-2_3.
Full textShen, Yi, Guoying Zhao, Minghui Jiang, and Xuerong Mao. "Stochastic Lotka-Volterra Competitive Systems with Variable Delay." In Lecture Notes in Computer Science, 238–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11538356_25.
Full textTebaldi, Claudio, and Deborah Lacitignola. "Complex Features in Lotka-Volterra Systems with Behavioral Adaptation." In Unifying Themes in Complex Systems, 267–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-85081-6_34.
Full textLiu, Honghao, Jian He, and Xuebo Chen. "Research on Enterprise Monopoly Based on Lotka-Volterra Model." In Human Systems Engineering and Design II, 1018–22. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27928-8_151.
Full textMartin, R., and H. Smith. "Convergence in Lotka-Volterra Systems with Diffusion and Delay." In Differential Equations with Applications in Biology, Physics, and Enqineering, 259–68. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742: CRC Press, 2017. http://dx.doi.org/10.1201/9781315141244-19.
Full textLam, King-Yeung, and Yuan Lou. "The Lotka–Volterra Competition-Diffusion Systems for Two Species." In Lecture Notes on Mathematical Modelling in the Life Sciences, 139–76. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-20422-7_7.
Full textApreutesei, Narcisa, and Gabriel Dimitriu. "Optimal Control for Lotka-Volterra Systems with a Hunter Population." In Large-Scale Scientific Computing, 277–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_30.
Full textCherniha, Roman, and Vasyl’ Davydovych. "Conditional Symmetries and Exact Solutions of Diffusive Lotka–Volterra Systems." In Lecture Notes in Mathematics, 77–118. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65467-6_3.
Full textLu, Wenlian, and Tianping Chen. "Positive Solutions of General Delayed Competitive or Cooperative Lotka-Volterra Systems." In Advances in Neural Networks – ISNN 2007, 1034–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-72383-7_121.
Full textFreguglia, Paolo, Eleonora Andreotti, and Armando Bazzani. "Modelling Ecological Systems from a Niche Theory to Lotka-Volterra Equations." In SEMA SIMAI Springer Series, 1–18. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-41120-6_1.
Full textConference papers on the topic "Lotka-Volterra systems"
Vaidyanathan, Sundarapandian. "Nonlinear observer design for Lotka-Volterra systems." In 2010 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC). IEEE, 2010. http://dx.doi.org/10.1109/iccic.2010.5705770.
Full textMoreau, Yves, Stéphane Louiès, Joos Vandewalle, and Léon Brenig. "Representation of neural networks as Lotka-Volterra systems." In COMPUTING ANTICIPATORY SYSTEMS. ASCE, 1999. http://dx.doi.org/10.1063/1.58279.
Full textGray, W. Steven, Luis A. Duffaut Espinosa, and Kurusch Ebrahimi-Fard. "Analytic left inversion of SISO Lotka-Volterra models." In 2015 49th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2015. http://dx.doi.org/10.1109/ciss.2015.7086852.
Full textEnatsu, Yoichi, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Permanence for multi-species nonautonomous Lotka-Volterra cooperative systems." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142923.
Full textLACITIGNOLA, D., and C. TEBALDI. "CHAOTIC PATTERNS IN LOTKA-VOLTERRA SYSTEMS WITH BEHAVIORAL ADAPTATION." In Proceedings of the 13th Conference on WASCOM 2005. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773616_0042.
Full textNguyen-Van, Triet, and Noriyuki Hori. "A Discrete-Time Model for Lotka-Volterra Equations With Preserved Stability of Equilibria." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63049.
Full textStones Lei Zhang, Zhang Yi, and Peng Ann Heng. "Group selection by using Lotka-Volterra recurrent neural networks." In 2008 IEEE Conference on Cybernetics and Intelligent Systems (CIS). IEEE, 2008. http://dx.doi.org/10.1109/iccis.2008.4670881.
Full textFaria, Teresa, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Global Stability and Singularities for Lotka-Volterra Systems with Delays." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142926.
Full textBallesteros, A., A. Blasco, and F. Musso. "Lotka-Volterra systems as Poisson-Lie dynamics on solvable groups." In XX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS. AIP, 2012. http://dx.doi.org/10.1063/1.4733365.
Full textManli Li, Jiali Yu, Stones Lei Zhang, and Hong Qu. "Solving TSP using Lotka-Volterra neural networks without self-excitatory." In 2008 IEEE Conference on Cybernetics and Intelligent Systems (CIS). IEEE, 2008. http://dx.doi.org/10.1109/iccis.2008.4670880.
Full textReports on the topic "Lotka-Volterra systems"
Heinz, Kevin, Itamar Glazer, Moshe Coll, Amanda Chau, and Andrew Chow. Use of multiple biological control agents for control of western flower thrips. United States Department of Agriculture, 2004. http://dx.doi.org/10.32747/2004.7613875.bard.
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