The effect of impulsive diffusion on dynamics of a stage-structured predator-prey system (Q607912)

Summary: We investigate a predator-prey model with impulsive diffusion of the predator and stage structure of prey. A globally attractive condition of prey-extinction periodic solutions of the system is obtained by the stroboscopic map of the discrete dynamical system. The permanence condition of the system is also obtained by the theory of impulsive delay differential equations. The results indicate that the discrete time delay has influence on the dynamical behavior of the system. Finally, some numerical simulations are carried out to support the analytic results.