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Note on the Persistence of a Nonautonomous Lotka-Volterra Competitive System with Infinite Delay and Feedback Controls

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  • Chunling Shi
  • Yiqin Wang
  • Xiaoying Chen
  • Yuli Chen

Abstract

We study a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls. We establish a series of criteria under which a part of -species of the systems is driven to extinction while the remaining part of the species is persistent. Particularly, as a special case, a series of new sufficient conditions on the persistence for all species of system are obtained. Several examples together with their numerical simulations show the feasibility of our main results.

Suggested Citation

  • Chunling Shi & Yiqin Wang & Xiaoying Chen & Yuli Chen, 2014. "Note on the Persistence of a Nonautonomous Lotka-Volterra Competitive System with Infinite Delay and Feedback Controls," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnddns:682769
    DOI: 10.1155/2014/682769
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