Relevant bibliographies by topics / Lotka-Volterra systems

Academic literature on the topic 'Lotka-Volterra systems'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Lotka-Volterra systems"

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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.

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Christie, 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.

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AbstractLotka-Volterra systems have been used extensively in modelling population dynamics. In this paper, it is shown that chaotic behaviour in the sense of Smale can exist in timeperiodically perturbed systems of Lotka-Volterra equations. First, a slowly varying threedimensional perturbed Lotka-Volterra system is considered and the corresponding unperturbed system is shown to possess a heteroclinic cycle. By using Melnikov's method, sufficient conditions are obtained for the perturbed system to have a transverse heteroclinic cycle and hence to possess chaotic behaviour in the sense of Smale. Then a special case involving a reduction to a two-dimensional Lotka-Volterra system is examined, leading finally to an application with a model for the self-organisation of macromolecules.
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Mukhamedov, 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.

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This paper aims to define the set of unital positive maps on M2(C) by means of quantum Lotka–Volterra operators which are quantum analogues of the classical Lotka–Volterra operators. Furthermore, a quantum control problem within the class of quantum Lotka–Volterra operators are studied. The proposed approach will lead to the understanding of the behavior of the classical Lotka–Volterra systems within a quantum framework.
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Redheffer, 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.

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Redheffer, 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.

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Feng, 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.

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In this paper, a class of nonautonomous Lotka–Volterra type multispecies competitive systems with delays is studied. By employing Lyapunov functional, some sufficient conditions to guarantee the existence of almost periodic solutions for the Lotka–Volterra system are obtained.
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Fernandez, 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.

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The purpose of this paper is to study the structure of Lotka–Volterra algebras, the set of their idempotent elements and their group of automorphisms. These algebras are defined through antisymmetric matrices and they emerge in connection with biological problems and Lotka–Volterra systems for the interactions of neighboring individuals.
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NAKATA, 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.

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In this paper, we establish a new sufficient condition of the permanence for the Lotka–Volterra cooperative systems with multiple discrete delays by extending the results in [Nakata and Muroya, Permanence for nonautonomous Lotka–Volterra cooperative systems with delays, Nonlinear Anal. RWA., in press]. Our condition holds even if the instantaneous feedback does not dominate over the total of the interspecific interactions and does not need the restriction on the size of time delays, different from the results in [Lu and Lu, Permanence for two-species Lotka–Volterra cooperative systems with delays, Math. Biosci. Eng.5 (2008) 477–484]. We offer an example for comparison with the previous results and numerical results supporting our theoretical analysis are given.
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Hou, 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.

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In this paper, a class of Kolmogorov systems with delays are studied. Sufficient conditions are provided for a system to have a compact uniform attractor. Then Jansen's result for autonomous replicator and Lotka–Volterra systems has been extended to delayed non-autonomous Kolmogorov systems with periodic or autonomous Lotka–Volterra subsystems. Thus, simple algebraic conditions are obtained for partial permanence and permanence. An outstanding feature of all these results is that the conditions are independent of the size and distribution of the delays.
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Valero, 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.

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We prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay. Moreover, in the case of the Lotka-Volterra system a weak maximum principle is given, and a suitable estimate in the space of essentially bounded functionsL∞is proved for at least one solution of the problem.
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Dissertations / Theses on the topic "Lotka-Volterra systems"

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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.

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This thesis presents a study of the centre bifurcation and chaotic behaviour of three dimensional Lotka-Volterra systems. In two dimensional systems, Christopher (2005) considered a simple computational approach to estimate the cyclicity bifurcating from the centre. We generalized the technique to estimate the cyclicity of the centre in three dimensional systems. A lower bounds is given for the cyclicity of a hopf point in the three dimensional Lotka-Volterra systems via centre bifurcations. Sufficient conditions for the existence of a centre are obtained via the Darboux method using inverse Jacobi multiplier functions. For a given centre, the cyclicity is bounded from below by considering the linear parts of the corresponding Liapunov quantities of the perturbed system. Although the number obtained is not new, the technique is fast and can easily be adapted to other systems. The same technique is applied to estimate the cyclicity of a three dimensional system with a plane of singularities. As a result, eight limit cycles are shown to bifurcate from the centre by considering the quadratic parts of the corresponding Liapunov quantities of the perturbed system. This thesis also examines the chaotic behaviour of three dimensional Lotka-Volterra systems. For studying the chaotic behaviour, a geometric method is used. We construct an example of a three dimensional Lotka-Volterra system with a saddle-focus critical point of Shilnikov type as well as a loop. A construction of the heteroclinic cycle that joins the critical point with two other critical points of type planar saddle and axial saddle is undertaken. Furthermore, the local behaviour of trajectories in a small neighbourhood of the critical points is investigated. The dynamics of the Poincare map around the heteroclinic cycle can exhibit chaos by demonstrating the existence of a horseshoe map. The proof uses a Shilnikov-type structure adapted to the geometry of these systems. For a good understanding of the global dynamics of the system, the behaviour at infinity is also examined. This helps us to draw the global phase portrait of the system. The last part of this thesis is devoted to a study of the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems. Explicit conditions for the existence of two first integrals for the system and a line of singularity with zero eigenvalue are given. We characteristic the parameters for which a zero-Hopf equilibrium point takes place at any points on the line. We prove that there are three 3-parameter families exhibiting such equilibria. First order of averaging theory is also applied but we show that it gives no information about the possible periodic orbits bifurcating from the zero-Hopf equilibria.
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Ramírez, 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.

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Sogoni, Msimelelo. "The paradox of enrichment in predator-prey systems." University of Western Cape, 2020. http://hdl.handle.net/11394/7737.

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>Magister Scientiae - MSc
In 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.
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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.

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Made available in DSpace on 2016-03-15T19:37:51Z (GMT). No. of bitstreams: 1 Andre Kishimoto.pdf: 6514091 bytes, checksum: cb3893235ae3a54cbfa637835b6903e8 (MD5) Previous issue date: 2014-08-13
Instituto 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.
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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.

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Ahlip, Rehez Ajmal. "Stability & filtering of stochastic systems." Thesis, Queensland University of Technology, 1997.

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Beck, 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.

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We analyse the preservation of physical properties of numerical approximations tosolutions of the Lotka-Volterra system: its positivity and the conservation of theHamiltonian. We focus on two numerical methods : the symplectic Euler method andan explicit variant of it. We first state under which conditions they are symplectic andwe prove they are both Poisson integrators for the Lotka-Volterra system. Then, westudy under which conditions they stay positive. For the symplectic Euler method,we derive a simple condition under which the numerical approximation always stayspositive. For the explicit variant, there is no such simple condition. Using propertiesof Poisson integrators and backward error analysis, we prove that for initial conditionsin a given set in the positive quadrant, there exists a bound on the step size, such thatnumerical approximations with step sizes smaller than the bound stay positive overexponentially long time intervals. We also show how this bound can be estimated.We illustrate all our results by numerical experiments.
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Almeida, 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.

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Mestrado em Mathematical Finance
As 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
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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.

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Interacting species systems have complex dynamics that are often subject to change due to internal and external factors. Quantitative modelling approaches to capture demographic fluctuations can be insufficient in the presence of stochastic variation and uncertainty. This thesis establishes new modelling techniques to account for such demographic variations and develops novel numerical simulation tools for solving these systems. These explorations are extended for solving invasive species management problems where robust management actions and efficient use of allocated budgets are necessary.
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Piltz, 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.

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Traditionally, differential-equation models for population dynamics have considered organisms as "fixed" entities in terms of their behaviour and characteristics. However, there have been many observations of adaptivity in organisms, both at the level of behaviour and as an evolutionary change of traits, in response to the environmental conditions. Taking such adaptiveness into account alters the qualitative dynamics of traditional models and is an important factor to be included, for example, when developing reliable model predictions under changing environmental conditions. In this thesis, we consider piecewise-smooth and smooth dynamical systems to represent adaptive change in a 1 predator-2 prey system. First, we derive a novel piecewise-smooth dynamical system for a predator switching between its preferred and alternative prey type in response to prey abundance. We consider a linear ecological trade-off and discover a novel bifurcation as we change the slope of the trade-off. Second, we reformulate the piecewise-smooth system as two novel 1 predator-2 prey smooth dynamical systems. As opposed to the piecewise-smooth system that includes a discontinuity in the vector fields and assumes that a predator switches its feeding strategy instantaneously, we relax this assumption in these systems and consider continuous change in a predator trait. We use plankton as our reference organism because they serve as an important model system. We compare the model simulations with data from Lake Constance on the German-Swiss-Austrian border and suggest possible mechanistic explanations for cycles in plankton concentrations in spring.
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Books on the topic "Lotka-Volterra systems"

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Ahmad, Shair, and Ivanka M. Stamova, eds. Lotka-Volterra and Related Systems. Berlin, Boston: DE GRUYTER, 2013. http://dx.doi.org/10.1515/9783110269840.

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Global dynamical properties of Lotka-Volterra systems. Singapore: World Scientific, 1996.

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Lotka-Volterra and related systems: Recent developments in population dynamics. Berlin: De Gruyter, 2013.

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UNESCO. 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.

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Meeting 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.

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Voges, Jörg. Spieltheoretische Konzepte zur Untersuchung verallgemeinerter Lotka-Volterra-Systeme. Regensburg: S. Roderer, 1989.

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UNESCO. 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.

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Ahmad, 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.

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Khailov, 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.

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This book is devoted to a consistent presentation of the recent results obtained by the authors related to controlled systems created based on the Lotka-Volterra competition model, as well as to theoretical and numerical study of the corresponding optimal control problems. These controlled systems describe various modern methods of treating blood cancers, and the optimal control problems stated for such systems, reflect the search for the optimal treatment strategies. The main tool of the theoretical analysis used in this book is the Pontryagin maximum principle - a necessary condition for optimality in optimal control problems. Possible types of the optimal blood cancer treatment - the optimal controls - are obtained as a result of analytical investigations and are confirmed by corresponding numerical calculations. This book can be used as a supplement text in courses of mathematical modeling for upper undergraduate and graduate students. It is our believe that this text will be of interest to all professors teaching such or similar courses as well as for everyone interested in modern optimal control theory and its biomedical applications.
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Book chapters on the topic "Lotka-Volterra systems"

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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.

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Shen, 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.

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Tebaldi, 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.

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Liu, 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.

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Martin, 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.

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Lam, 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.

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Apreutesei, 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.

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Cherniha, 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.

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Lu, 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.

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Freguglia, 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.

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Conference papers on the topic "Lotka-Volterra systems"

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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.

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Moreau, 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.

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Gray, 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.

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Enatsu, 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.

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LACITIGNOLA, 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.

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Nguyen-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.

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Abstract:
A Lotka-Volterra differential equation is discretized using a method proposed recently by the same authors for nonlinear autonomous systems and the stability of equilibrium points of the resulting discrete-time model is investigated. It is shown that when Jacobian matrix of the nonlinear equation is invertible, the equilibrium points of the model are identical to those of the original continuous-time system, and their asymptotic stability and instability are retained for any sampling period. While the method can be applied to any Lotka-Volterra types, simulation results are presented for a competitive-type example, where the continuous-time system and their discrete-time models obtained by the forward-difference, Mickens’, Kahan’s, and the proposed methods are compared. They illustrate that, in general, the proposed model performs better than other discrete-time models.
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Stones 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.

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Faria, 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.

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Ballesteros, 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.

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Manli 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.

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Reports on the topic "Lotka-Volterra systems"

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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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Abstract:
The western flower thrips (WFT), Frankliniella occidentalis (Pergande), is a serious widespread pest of vegetable and ornamental crops worldwide. Chemical control for Frankliniella occidentalis (Pergande) (Thysanoptera: Thripidae) on floriculture or vegetable crops can be difficult because this pest has developed resistance to many insecticides and also tends to hide within flowers, buds, and apical meristems. Predatory bugs, predatory mites, and entomopathogenic nematodes are commercially available in both the US and Israel for control of WFT. Predatory bugs, such as Orius species, can suppress high WFT densities but have limited ability to attack thrips within confined plant parts. Predatory mites can reach more confined habitats than predatory bugs, but kill primarily first-instar larvae of thrips. Entomopathogenic nematodes can directly kill or sterilize most thrips stages, but have limited mobility and are vulnerable to desiccation in certain parts of the crop canopy. However, simultaneous use of two or more agents may provide both effective and cost efficient control of WFT through complimentary predation and/or parasitism. The general goal of our project was to evaluate whether suppression of WFT could be enhanced by inundative or inoculative releases of Orius predators with either predatory mites or entomopathogenic nematodes. Whether pest suppression is best when single or multiple biological control agents are used, is an issue of importance to the practice of biological control. For our investigations in Texas, we used Orius insidiosus(Say), the predatory mite, Amblyseius degeneransBerlese, and the predatory mite, Amblyseius swirskii(Athias-Henriot). In Israel, the research focused on Orius laevigatus (Fieber) and the entomopathogenic nematode, Steinernema felpiae. Our specific objectives were to: (1) quantify the spatial distribution and population growth of WFT and WFT natural enemies on greenhouse roses (Texas) and peppers (Israel), (2) assess interspecific interactions among WFT natural enemies, (3) measure WFT population suppression resulting from single or multiple species releases. Revisions to our project after the first year were: (1) use of A. swirskiiin place of A. degeneransfor the majority of our predatory mite and Orius studies, (2) use of S. felpiaein place of Thripinema nicklewoodi for all of the nematode and Orius studies. We utilized laboratory experiments, greenhouse studies, field trials and mathematical modeling to achieve our objectives. In greenhouse trials, we found that concurrent releases of A.degeneranswith O. insidiosusdid not improve control of F. occidentalis on cut roses over releases of only O. insidiosus. Suppression of WFT by augmentative releases A. swirskiialone was superior to augmentative releases of O. insidiosusalone and similar to concurrent releases of both predator species on cut roses. In laboratory studies, we discovered that O. insidiosusis a generalist predator that ‘switches’ to the most abundant prey and will kill significant numbers of A. swirskiior A. degeneransif WFTbecome relatively less abundant. Our findings indicate that intraguild interactions between Orius and Amblyseius species could hinder suppression of thrips populations and combinations of these natural enemies may not enhance biological control on certain crops. Intraguild interactions between S. felpiaeand O. laevigatus were found to be more complex than those between O. insidiosusand predatory mites. In laboratory studies, we found that S. felpiaecould infect and kill either adult or immature O. laevigatus. Although adult O. laevigatus tended to avoid areas infested by S. felpiaein Petri dish arenas, they did not show preference between healthy WFT and WFT infected with S. felpiaein choice tests. In field cage trials, suppression of WFT on sweet-pepper was similar in treatments with only O. laevigatus or both O. laevigatus and S. felpiae. Distribution and numbers of O. laevigatus on pepper plants also did not differ between cages with or without S. felpiae. Low survivorship of S. felpiaeafter foliar applications to sweet-pepper may explain, in part, the absence of effects in the field trials. Finally, we were interested in how differential predation on different developmental stages of WFT (Orius feeding on WFT nymphs inhabiting foliage and flowers, nematodes that attack prepupae and pupae in the soil) affects community dynamics. To better understand these interactions, we constructed a model based on Lotka-Volterra predator-prey theory and our simulations showed that differential predation, where predators tend to concentrate on one WFT stage contribute to system stability and permanence while predators that tend to mix different WFT stages reduce system stability and permanence.
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