Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay-Reference-Cited by-同舟云学术

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

Published:2009 Issue: Volume:2009 Page:1-16
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Yu Zhixiang¹,Li Zhong¹

Affiliation:

1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Abstract

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.

Funder

New Century Excellent Talents in Fujian Province University

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2009/732510.pdf

Reference43 articles.

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4. Chaos in a Lotka–Volterra predator–prey system with periodically impulsive ratio-harvesting the prey and time delays

5. Interspecific competition, predation and species diversity

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