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Persistence and periodic solutions of a nonautonomous predator-prey diffusion with Holling III functional response and continuous delay

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  • 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.


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