Spatiotemporal dynamics of a delayed diffusive ratio-dependent predator-prey model with fear effect

被引：30

作者：

Zhang, Xuebing ^{[1
]}

An, Qi ^{[1
]}

Wang, Ling ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China

[2] Nanjing Vocat Univ Ind Technol, Nanjing 210000, Peoples R China

来源：

NONLINEAR DYNAMICS | 2021年 / 105卷 / 04期

基金：

美国国家科学基金会;

关键词：

Diffusion; Fear effect; Turing-Hopf bifurcation; Predator-prey model; PATTERN-FORMATION; BIFURCATION; SYSTEMS;

D O I：

10.1007/s11071-021-06780-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

By considering that there is a delay on the impact of fear to the growth rate of prey, we consider a delayed diffusive predator-prey model with fear effect. First, we give some conditions of the existence of the equilibria. Then, sufficient conditions for the occurrence of Turing, Hopf and Turing-Hopf bifurcation are also obtained. Furthermore, the global asymptotic stability of the positive equilibrium is studied. Finally, some numerical simulations are presented to verify our theoretical results. It shows that the system has various spatiotemporal patterns induced by delay.

引用

页码：3775 / 3790

页数：16

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