Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches (Q2654357)

The authors propose a delayed predator-prey model with impulsive diffusion between two patches. Using the stroboscopic map of the discrete dynamical system, global attraction of the predator-extinction periodic solution of the system is obtained. By the theory of impulsive delay differential equation, a condition for the permanence of the system is obtained. The results indicate that the discrete time delay has influence on the dynamical behavior of the system.