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

Yumin Wu | Zendy; Fengde Chen | Zendy; Wanlin Chen | Zendy; Yuhua Lin | Zendy

Open Access

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

Author(s) -

Yumin Wu,

Fengde Chen,

Wanlin Chen,

Yuhua Lin

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/508962

Subject(s) - functional response , predation , extinction (optical mineralogy) , type (biology) , predator , control theory (sociology) , mathematics , stability (learning theory) , set (abstract data type) , persistence (discontinuity) , exponential stability , ecology , computer science , biology , physics , artificial intelligence , nonlinear system , engineering , paleontology , control (management) , quantum mechanics , machine learning , programming language , geotechnical engineering

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

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