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

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  • Zhixiang Yu
  • Zhong Li

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.

Suggested Citation

  • Zhixiang Yu & Zhong Li, 2009. "Permanence and Global Attractivity of a Discrete Two-Prey One-Predator Model with Infinite Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2009, pages 1-16, November.
    • Handle: RePEc:hin:jnddns:732510
    DOI: 10.1155/2009/732510
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