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Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response

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  • Qiong Liu

Abstract

A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of the positive almost periodic solution which is globally asymptotically stable.

Suggested Citation

  • Qiong Liu, 2008. "Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-13, July.
  • Handle: RePEc:hin:jnddns:706154
    DOI: 10.1155/2008/706154
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