BIFURCATION ANALYSIS OF A DIFFUSIVE PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

被引：5

作者：

Song, Qiannan ^{[1
]}

Yang, Ruizhi ^{[1
]}

Zhang, Chunrui ^{[1
]}

Wang, Lei ^{[2
]}

机构：

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

[2] Northeast Forestry Univ, Sch Mech & Elect Engn, Harbin 150040, Heilongjiang, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 02期

关键词：

Predator-prey; Turing instability; Hopf bifurcation; Turing-Hopf bifurcation; TURING-HOPF BIFURCATION; INTERFERENCE; SYSTEM; PARASITES;

D O I：

10.11948/20200119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a diffusive predator-prey model with Beddington-DeAngelis functional response. The Turing instability and Hopf bifurcation of the coexisting equilibrium are investigated. We also use bifurcation parameters m, d(2) to study the Turing-Hopf bifurcation. In addition, we compute the normal form for the Turing-Hopf bifurcation. On the basis of the corresponding normal form, there exists complex spatiotemporal dynamics near Turing-Hopf bifurcation point. Finally, Some numerical simulations are given to illustrate our theoretical results.

引用

页码：920 / 936

页数：17

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