期刊
NONLINEAR DYNAMICS
卷 105, 期 4, 页码 3775-3790出版社
SPRINGER
DOI: 10.1007/s11071-021-06780-x
关键词
Diffusion; Fear effect; Turing-Hopf bifurcation; Predator-prey model
资金
- National Science Foundation of China [61807006]
- Natural Science Foundation of Jiangsu Province [SBK2020044167]
- Jiangsu University Natural Science Foundation [18KJD110001]
- Startup Foundation for Introducing Talent of NUIST
In this study, a delayed diffusive predator-prey model with fear effect is considered due to the delay in the impact of fear on the growth rate of prey. The existence of equilibria, occurrence of Turing, Hopf and Turing-Hopf bifurcation, and global asymptotic stability of the positive equilibrium are analyzed, with various spatiotemporal patterns induced by delay confirmed through numerical simulations.
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据