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On the Dynamics of a Nonautonomous Predator‐Prey Model with Hassell‐Varley Type Functional Response

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  • Yan Zhang
  • Shujing Gao
  • Kuangang Fan

Abstract

The dynamic behaviors of a nonautonomous system for migratory birds with Hassell‐Varley type functional response and the saturation incidence rate are studied. Under quite weak assumptions, some sufficient conditions are obtained for the permanence and extinction of the disease. Moreover, the global attractivity of the model is discussed by constructing a Lyapunov function. Numerical simulations which support our theoretical analysis are also given.

Suggested Citation

  • Yan Zhang & Shujing Gao & Kuangang Fan, 2014. "On the Dynamics of a Nonautonomous Predator‐Prey Model with Hassell‐Varley Type Functional Response," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:864678
    DOI: 10.1155/2014/864678
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    References listed on IDEAS

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    1. Pang, Guoping & Wang, Fengyan & Chen, Lansun, 2009. "Extinction and permanence in delayed stage-structure predator–prey system with impulsive effects," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2216-2224.
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