Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge | Zendy

Xia Liu | Zendy; Y̱epeng Xing | Zendy

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Qualitative Analysis for a Predator Prey System with Holling Type III Functional Response and Prey Refuge

Author(s) -

Xia Liu,

Y̱epeng Xing

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 - 10.1155/2012/678957

Subject(s) - functional response , predation , limit cycle , mathematics , limit (mathematics) , constant (computer programming) , control theory (sociology) , type (biology) , stability (learning theory) , predator , exponential stability , mathematical analysis , nonlinear system , computer science , physics , ecology , biology , artificial intelligence , control (management) , machine learning , programming language , quantum mechanics

A predator prey system with Holling III functional response and constant prey refuge is considered. By using the Dulac criterion, we discuss the global stability of the positive equilibrium of the system. By transforming the system to a Liénard system, the conditions for the existence of exactly one limit cycle for the system are given. Some numerical simulations are presented

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