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Analysis of a model of two parallel food chains

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Publication:841336
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DOI10.3934/dcdsb.2009.12.337zbMath1182.34068OpenAlexW2167504765MaRDI QIDQ841336

Chiu-Ju Lin, Christopher A. Klausmeier, Sze-Bi Hsu

Publication date: 16 September 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.12.337

zbMATH Keywords

chaoslimit cycleschemostatheteroclinic orbitsfood chains


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


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Mathematical analysis of a three-tiered food-web in the chemostat, Mortality can produce limit cycles in density-dependent models with a predator-prey relationship



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