Hopf bifurcations in a predator-prey diffusion system with Beddington-DeAngelis response

DOI10.1007/s10440-010-9593-3zbMath1228.35038OpenAlexW2086724593WikidataQ115605549 ScholiaQ115605549MaRDI QIDQ634669

Jia-Fang Zhang, Xiang-Ping Yan, Wang-Tong Li

Publication date: 16 August 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9593-3

zbMATH Keywords

Hopf bifurcationhomogeneous Neumann boundary conditionsBogdanov-Takens bifurcation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Qualitative analysis of predator-prey models with Beddington-De Angelis functional response and diffusion
• Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Periodic solutions of delayed predator-prey model with the Beddington-DeAngelis functional response
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
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