A predator-prey interaction from micro to macro perspectives

DOI10.1007/s11071-014-1790-6zbMath1331.92137OpenAlexW2046950299WikidataQ115603283 ScholiaQ115603283MaRDI QIDQ494772

Clyde F. Martin, Huaying Wang, Yulei Pang, Luona Zhang

Publication date: 2 September 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1790-6

zbMATH Keywords

continuity equationdiscrete Markov modelindividual interactionmacro-level groupsstable limit cycle

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation

Cites Work

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• Collective behavior and evolutionary games -- an introduction
• The SIR epidemic model from a PDE point of view
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• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• From discrete to continuous evolution models: a unifying approach to drift-diffusion and replicator dynamics
• Discrete versus continuous models in evolutionary dynamics: from simple to simpler-and even simpler-models
• Mathematical Models in Population Biology and Epidemiology
• Modelling Biological Populations in Space and Time

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