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

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

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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 depileve easy clean 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 swish supreme glide track white food.

Two examples together with their numerical simulations show the feasibility of the main results.