Turing-Hopf bifurcation of a delayed diffusive predator-prey system with chemotaxis and fear effect

DOI10.1016/j.aml.2020.106644zbMath1450.35045OpenAlexW3043892386WikidataQ115597795 ScholiaQ115597795MaRDI QIDQ2006341

Guangxun Sun, Binxiang Dai

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106644

zbMATH Keywords

delaycodimension-two Turing-Hopf bifurcationfear effectchemotaxis-driven Turing bifurcationdelay-driven Hopf bifurcation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Effect of the protection zone in a diffusive ratio-dependent predator-prey model with fear and Allee effect ⋮ Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ Stability analysis and optimal harvesting control of a cross-diffusion prey-predator system ⋮ Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect ⋮ On a diffusive predator-prey model with nonlocal fear effect ⋮ Spatial dynamics of a fractional predator-prey system with time delay and Allee effect ⋮ Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects ⋮ Dynamics analysis of a diffusive predator-prey model with spatial memory and nonlocal fear effect ⋮ Unnamed Item

Cites Work

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• Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
• Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations
• Bifurcations and Pattern Formation in a Predator–Prey Model
• Spatiotemporal Dynamics of the Diffusive Mussel-Algae Model Near Turing-Hopf Bifurcation

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