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Journal:Mathematics

Key Words:predator–prey system; fear effect; anti-predator behaviour; Hopf bifurcation; diffusion

Abstract:This paper is devoted to studying the dynamics of a delayed reaction-diffusion predator–prey system incorporating the effects of fear and anti-predator behaviour. First, based on its mathematical model, the global attractor is analyzed and the local stability of its positive equilibria is derived. Moreover, the Hopf bifurcation induced by the time delay variable is also investigated. Furthermore, the existence and non-existence of non-constant positive solutions are analyzed. Finally, numerical simulations are presented to validate the theoretical analysis

All the Authors:Xuebing Zhang

First Author:Zhenglong CHEN

Indexed by:Journal paper

Correspondence Author:Shunjie LI

Document Code:3270

Issue:10

Translation or Not:yes

Date of Publication:2023-09-08

Included Journals:SCI

Date of Publication:2023-09-08