Analysis of a predator-prey model with predators impulsively diffusing between two patches

Abstract

In this work, a predator-prey model with predators impulsively diffusing between two patches is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction periodic solution of the investigated system is proved to be globally asymptotically stable. By the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical simulation is inserted to illustrate the results.