Analysis of a Delayed Reaction-Diffusion Predator–Prey System with Fear Effect and Anti-Predator Behaviour
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- 发表刊物:Mathematics
- 关键字:predator–prey system; fear effect; anti-predator behaviour; Hopf bifurcation; diffusion
- 摘要: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
- 全部作者:Xuebing Zhang
- 第一作者:Zhenglong CHEN
- 论文类型:期刊论文
- 通讯作者:Shunjie LI
- 论文编号:3270
- 期号:10
- 是否译文:是
- 发表时间:2023-09-08
- 收录刊物:SCI