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The Dynamics of an Impulsive Predator‐Prey System with Stage Structure and Holling Type III Functional Response

Author

Listed:
  • Zhixiang Ju
  • Yuanfu Shao
  • Xiaolan Xie
  • Xiangmin Ma
  • Xianjia Fang

Abstract

Based on the biological resource management of natural resources, a stage‐structured predator‐prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator‐extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results.

Suggested Citation

  • Zhixiang Ju & Yuanfu Shao & Xiaolan Xie & Xiangmin Ma & Xianjia Fang, 2015. "The Dynamics of an Impulsive Predator‐Prey System with Stage Structure and Holling Type III Functional Response," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:183526
    DOI: 10.1155/2015/183526
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    References listed on IDEAS

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    1. Liu, Zhijun & Tan, Ronghua, 2007. "Impulsive harvesting and stocking in a Monod–Haldane functional response predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 454-464.
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