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.
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页码：920 / 936
页数：17
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