Bifurcation in a predator-prey model with diffusion: rotating waves

DOI10.1007/S12591-009-0010-1zbMath1201.35115OpenAlexW2152241325WikidataQ115601379 ScholiaQ115601379MaRDI QIDQ606460

Sándor Kovács

Publication date: 17 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-009-0010-1

zbMATH Keywords

bifurcationreaction-diffusion equationsrotating waveunit disc and annulus

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Dynamics of a delayed predator-prey model with predator migration

Cites Work

• Global bifurcation of waves
• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
• Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
• Hopf bifurcation from rotating waves and patterns in physical space
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Bifurcations in a human migration model of Scheurle-Seydel type. II: Rotating waves
• Turing bifurcation in a system with cross diffusion
• Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
• Introducing a Population into a Steady Community: The Critical Case, the Center Manifold, and the Direction of Bifurcation
• A Table of Ramanujan's Function τ(n )
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