Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay | Zendy

Zhixiang Yu | Zendy; Zhong Li | Zendy

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Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay

Author(s) -

Zhixiang Yu,

Zhong Li

Publication year - 2009

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 - 10.1155/2009/732510

Subject(s) - predation , mathematics , lyapunov function , control theory (sociology) , set (abstract data type) , functional response , predator , mathematical optimization , computer science , ecology , artificial intelligence , control (management) , nonlinear system , physics , quantum mechanics , biology , programming language

A discrete two-prey one-predator model with infinite delay is proposed. A set of sufficient conditions which guarantee the permanence of the system is obtained. By constructing a suitable Lyapunov functional, we also obtain sufficient conditions ensuring the global attractivity of the system. An example together with its numerical simulation shows the feasibility of the main results

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