Belyakov homoclinic bifurcations in a tritrophic food chain model (Q2783720)
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scientific article; zbMATH DE number 1730697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Belyakov homoclinic bifurcations in a tritrophic food chain model |
scientific article; zbMATH DE number 1730697 |
Statements
17 April 2002
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homoclinic bifurcations
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population dynamics
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tritrophic food chain model
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numerical continuation techniques
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Belyakov bifurcation
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Rosenzweig-MacArthur model
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tritrophic food chain
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Belyakov homoclinic bifurcations in a tritrophic food chain model (English)
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The paper is concerned with the investigation of the complex dynamics of the so-called Rosenzweig-MacArthur model which describes a tritrophic food chain composed of a prey, a predator and a top-predator. In particular, the authors discuss the bifurcation structure of its chaotic region. In the proofs, they combine recent numerical techniques for continuing homoclinic bifurcations with the analysis of Belyakov bifurcation.
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