Bifurcation analysis of a diffusive predator-prey model with fear effect

被引：1

作者：

Cao, Jianzhi ^{[1
]}

Li, Fang ^{[1
]}

Hao, Pengmiao ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Informat Sci, Innovat Capac Enhancement Program Sci & Technol Pl, Hebei Prov 22567623H, Baoding 071002, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 17期

关键词：

diffusive predator-prey system; fear effect; Hopf bifurcation; steady-state bifurcation; SPATIOTEMPORAL PATTERNS; RISK;

D O I：

10.1002/mma.10198

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a diffusive predator-prey system with fear factor response subject to Neumann boundary conditions is considered. Bifurcations at the boundary equilibria of the corresponding ODE are confirmed by Sotomayor's theorem. Detailed bifurcation analysis shows that the reaction-diffusion system undergoes Hopf bifurcation and steady-state bifurcation. The bifurcation direction and the stability of the bifurcating periodic solutions are also given. Finally, numerical simulation results are carried out to verify the theoretical results.

引用

页码：13404 / 13423

页数：20

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