THE EFFECT OF DIFFUSION FOR A PREDATOR–PREY SYSTEM WITH NONMONOTONIC FUNCTIONAL RESPONSE

DOI10.1142/S0218127404011867zbMath1074.35055WikidataQ115523862 ScholiaQ115523862MaRDI QIDQ5311851

Rong Yuan, Zhihua Liu

Publication date: 29 August 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationnormal formcenter manifoldpartial functional differential equationsBogdanov-Takens singularity

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32)

Related Items (7)

Bifurcation analysis of a delayed predator–prey system with strong Allee effect and diffusion ⋮ Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects ⋮ STABILITY AND HOPF BIFURCATION FOR A DELAYED COOPERATIVE SYSTEM WITH DIFFUSION EFFECTS ⋮ Bogdanov-Takens bifurcation in a predator-prey model ⋮ Takens-Bogdanov singularity for age structured models ⋮ Multiple bifurcations in a delayed predator-prey diffusion system with a functional response ⋮ Bogdanov–Takens Bifurcation of a Class of Delayed Reaction–Diffusion System

Cites Work

• Delay differential equations: with applications in population dynamics
• On a planar system modelling a neuron network with memory
• Normal forms for semilinear functional differential equations in Banach spaces and applications. II.
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion Systems
• Normal forms and Hopf bifurcation for partial differential equations with delays
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
• Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response

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