Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and schooling behavior

被引：2

作者：

Zhang, Xiaowen ^{[1
]}

Huang, Wufei ^{[1
]}

Ma, Jiaxin ^{[1
]}

Yang, Ruizhi ^{[1
]}

机构：

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

来源：

ELECTRONIC RESEARCH ARCHIVE | 2022年 / 30卷 / 07期

关键词：

predator-prey; delay; Hopf bifurcation; nonlocal competition; MODEL;

D O I：

10.3934/era.2022128

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a delayed diffusive predator-prey system with nonlocal competition in prey and schooling behavior in predator. We mainly study the local stability and Hopf bifurcation at the positive equilibrium by using time delay as the parameter. We also analyze the property of Hopf bifurcation by center manifold theorem and normal form method. Through the numerical simulation, we obtain that time delay can affect the stability of the positive equilibrium and induce spatial inhomogeneous periodic oscillations of prey and predator???s population densities. In addition, we observe that the increase of space area will not be conducive to the stability of the positive equilibrium (u*, v*), and may induce the inhomogeneous periodic oscillations of prey and predator???s population densities under some values of the parameters.

引用

页码：2510 / 2523

页数：14

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