Hopf bifurcation in a memory-based diffusion predator-prey model with spatial heterogeneity

DOI10.1016/J.JDE.2024.04.015MaRDI QIDQ6493737

Di Liu, Weihua Jiang

Publication date: 29 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilitybifurcationspatial heterogeneitymemory-based diffusionnon-constant steady-statenon-homogeneous periodic solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Hopf bifurcation in a diffusive Lotka-Volterra type system with nonlocal delay effect
• The spatially inhomogeneous Hopf bifurcation induced by memory delay in a memory-based diffusion system
• Diffusive spatial movement with memory
• Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion
• Spatial movement with distributed memory
• Bifurcations in a diffusive resource-consumer model with distributed memory
• Dynamics of a diffusive competition model with memory effect and spatial heterogeneity
• Allee effect and bistability in a spatially heterogeneous predator-prey model
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Effects of Certain Degeneracies in the Predator-Prey Model
• Nonlinear Second Order Parabolic Equations
• Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory

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