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

被引：0
|
作者：
Guowei Sun
Ali Mai
机构：
[1] Yuncheng University,Department of Mathematics and Information Technology
来源：
Advances in Difference Equations | / 2018卷
关键词：
Dispersal; Delay; Stability; Bifurcation; Predator–prey model; 92B05; 34K20; 34K18; 34K10;
D O I：
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学科分类号：
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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