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2004, Volume 4, Issue 3: 653-662. Doi: 10.3934/dcdsb.2004.4.653
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Persistence and periodic solutions of a nonautonomous predator-prey diffusion with Holling III functional response and continuous delay

  • 1.

    Department of Mathematics, Hubei Institute for Nationalities, Enshi 445000

Received:  August 31, 2002
Revised:  November 30, 2003
Published:  July 2005
Abstract Related Papers Cited by
    Abstract
  • A nonautonomous diffusion model with Holling III functional response and continuous time delay is considered in this paper, where all parameters are time dependent and the prey can diffuse between two patches of a heterogeneous environment with barriers between patches, but for the predator the diffusion does not involve a barrier between patches. It is shown that the system is persistent under any diffusion rate effect. Moreover, sufficient conditions that guarantee the existence of a positive periodic solution which is globally asymptotic stable are obtained.
    Mathematics Subject Classification: Primary: 92C15, 34C25.

    Citation:
    shu

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