Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response

A nonautonomous discrete predator-prey system incorporating a prey refuge and Holling type II functional Incubators response is studied in this paper.A set of sufficient conditions which guarantee the persistence and global stability of the system are obtained, respectively.Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food.Two examples together CLEAR MUSCLE with their numerical simulations show the feasibility of the main results.