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A Predator‐Prey Model with Functional Response and Stage Structure for Prey

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  • Xiao-Ke Sun
  • Hai-Feng Huo
  • Xiao-Bing Zhang

Abstract

A predator‐prey system with Holling type II functional response and stage structure for prey is presented. The local and global stability are studied by analyzing the associated characteristic transcendental equation and using comparison theorem. The existence of a Hopf bifurcation at the positive equilibrium is also studied. Some numerical simulations are also given to illustrate our results.

Suggested Citation

  • Xiao-Ke Sun & Hai-Feng Huo & Xiao-Bing Zhang, 2012. "A Predator‐Prey Model with Functional Response and Stage Structure for Prey," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:628103
    DOI: 10.1155/2012/628103
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    References listed on IDEAS

    as
    1. Gao, Shujing & Chen, Lansun & Sun, Lihua, 2005. "Optimal pulse fishing policy in stage-structured models with birth pulses," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1209-1219.
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