Time delay induced Hopf bifurcation in a diffusive predator-prey model with prey toxicity

被引：5
|
作者：
Yang, Ruizhi [1 ]
Ma, Yuxin [1 ]
Zhang, Chiyu [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Predator-prey; Delay; Stability; Hopf bifurcation; SPATIOTEMPORAL PATTERNS; SYSTEM; DYNAMICS;
D O I：
10.1186/s13662-020-03161-3
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 a time delay and prey toxicity. The effect of time delay on the stability of the positive equilibrium is studied by analyzing the eigenvalue spectrum. Delay-induced Hopf bifurcation is also investigated. By utilizing the normal form method and center manifold reduction for partial functional differential equations, the formulas for determining the property of Hopf bifurcation are given.
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收藏
页数：17
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