An impulsive periodic predator-prey system with Holling type III functional response and diffusion

摘要

This paper studies an impulsive two species periodic predator-prey Lotka-Volterra type dispersal system with Holling type III functional response in a patchy environment, in which the prey species can disperse among n different patches, but the predator species is confined to one patch and cannot disperse. Conditions for the permanence and extinction of the predator-prey system, and for the existence of a unique globally stable periodic solution are established. Numerical examples are shown to verify the validity of our results.