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

Abstract

A nonautonomous discrete predator‐prey system incorporating a prey refuge and Holling type II functional 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 with their numerical simulations show the feasibility of the main results.