Hopf bifurcations in a predator-prey diffusion system with Beddington-DeAngelis response (Q634669)
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scientific article; zbMATH DE number 5939423
| Language | Label | Description | Also known as |
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| English | Hopf bifurcations in a predator-prey diffusion system with Beddington-DeAngelis response |
scientific article; zbMATH DE number 5939423 |
Statements
Hopf bifurcations in a predator-prey diffusion system with Beddington-DeAngelis response (English)
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16 August 2011
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The authors consider the dynamic predator-prey reaction-diffusion system with Beddington-DeAngelis functional response and homogeneous Neumann boundary conditions with the aim to investigate the stability of the positive constant steady state solution and the existence of Andronov-Hopf bifurcation together with stability of bifurcating periodic solutions. Normal form theory and center manifold reduction are applied. The occurrence of codimension two Bogdanov-Takens bifurcation is shown.
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Hopf bifurcation
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Bogdanov-Takens bifurcation
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homogeneous Neumann boundary conditions
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