A diffusive predator-prey model with generalist predator and time delay

被引：28

作者：

Yang, Ruizhi ^{[1
]}

Jin, Dan ^{[1
]}

Wang, Wenlong ^{[1
]}

机构：

[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 03期

关键词：

delay; generalist predator; Hopf bifurcation; stability; MEMORY-BASED DIFFUSION; HOPF-BIFURCATION; DYNAMICS; PATTERNS;

D O I：

10.3934/math.2022255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Time delay in the resource limitation of the prey is incorporated into a diffusive predatorprey model with generalist predator. By analyzing the eigenvalue spectrum, time delay inducing instability and Hopf bifurcation are investigated. Some conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are obtained by utilizing the normal form method and center manifold reduction for partial functional differential equation. The results suggest that time delay can destabilize the stability of coexisting equilibrium and induce bifurcating periodic solution when it increases through a certain threshold.

引用

页码：4574 / 4591

页数：18

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