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Almost Periodic Solution of a Modified Leslie‐Gower Predator‐Prey Model with Beddington‐DeAngelis Functional Response and Feedback Controls

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  • Kerong Zhang
  • Jianli Li
  • Aiwen Yu

Abstract

We consider a modified Leslie‐Gower predator‐prey model with the Beddington‐DeAngelis functional response and feedback controls as follows: x˙t=xta1t-btxt-ctyt/αt+βtxt+γtyt-e1tut, u˙t=-d1tut+p1txt-τ, y˙t=yta2t-rtyt/xt+kt-e2tνt, and ν˙(t)=-d2(t)ν(t)+p2(t)y(t-τ). Sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained.

Suggested Citation

  • Kerong Zhang & Jianli Li & Aiwen Yu, 2014. "Almost Periodic Solution of a Modified Leslie‐Gower Predator‐Prey Model with Beddington‐DeAngelis Functional Response and Feedback Controls," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:252579
    DOI: 10.1155/2014/252579
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    References listed on IDEAS

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    1. Zhimin Zhang, 2013. "Almost Periodic Solution of a Modified Leslie-Gower Predator-Prey Model with Beddington-DeAngelis Functional Response," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, August.
    2. Zhimin Zhang, 2013. "Almost Periodic Solution of a Modified Leslie‐Gower Predator‐Prey Model with Beddington‐DeAngelis Functional Response," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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