Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls | Zendy

Jinghui Yang | Zendy

Open Access

Dynamics Behaviors of a Discrete Ratio-Dependent Predator-Prey System with Holling Type III Functional Response and Feedback Controls

Author(s) -

Jinghui Yang

Publication year - 2008

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 - 10.1155/2008/186539

Subject(s) - functional response , verifiable secret sharing , type (biology) , comparison theorem , lyapunov function , predation , mathematics , extinction (optical mineralogy) , control theory (sociology) , predator , dynamics (music) , function (biology) , computer science , control (management) , artificial intelligence , ecology , physics , biology , set (abstract data type) , nonlinear system , quantum mechanics , evolutionary biology , acoustics , optics , programming language

A ratio-dependent predator-prey system with Holling type III functional response and feedback controls is proposed. By constructing a suitable Lyapunov function and using the comparison theorem of difference equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. After that, under some suitable conditions, we show that the predator species y will be driven to extinction. Examples together with their numerical simulations show that the main results are verifiable

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