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

Abstract

Abstract 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.

Keywords

• Dispersal
• Delay
• Stability
• Bifurcation
• Predator–prey model