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A delayed stage-structured Holling II predator–prey model with mutual interference and impulsive perturbations on predator

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  • Jiao, Jianjun
  • Chen, Lansun
  • Cai, Shaohong

Abstract

In this work, we investigate a delayed stage-structured Holling II predator–prey model with mutual interference and impulsive perturbations on predator. Sufficient conditions of the global attractivity of prey-extinction periodic solution and the permanence of the system are obtained. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide reliable tactical basis for the practical pest management.

Suggested Citation

  • Jiao, Jianjun & Chen, Lansun & Cai, Shaohong, 2009. "A delayed stage-structured Holling II predator–prey model with mutual interference and impulsive perturbations on predator," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1946-1955.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1946-1955
    DOI: 10.1016/j.chaos.2007.09.074
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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.
    2. Gao, Shujing & Chen, Lansun, 2005. "The effect of seasonal harvesting on a single-species discrete population model with stage structure and birth pulses," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1013-1023.
    3. Jiao, Jianjun & Meng, Xinzhu & Chen, Lansun, 2008. "Global attractivity and permanence of a stage-structured pest management SI model with time delay and diseased pest impulsive transmission," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 658-668.
    4. Hui, Jing & Zhu, Deming, 2006. "Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 233-251.
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