Stability analysis of a two-patch predator-prey model with two dispersal delays

被引:12
作者
Sun, Guowei [1 ]
Mai, Ali [1 ]
机构
[1] Yuncheng Univ, Dept Math & Informat Technol, Yuncheng, Peoples R China
来源
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金
中国国家自然科学基金;
关键词
Dispersal; Delay; Stability; Bifurcation; Predator-prey model; NEURAL-NETWORK MODEL; MIGRATIONS; DYNAMICS; SYSTEM;
D O I
10.1186/s13662-018-1833-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with a predator-prey model with both species in the delayed-dispersal case in a two-patch environment. The purpose of this paper is to study the effect of two dispersal delays on the stability of three equilibria. It turns out that the stability of the trivial equilibrium and the boundary equilibrium is delay-independent. However, the stability of the coexistence equilibrium is delay-dependent. Numerical simulations are performed to demonstrate the obtained results.
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页数:9
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