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Global attractivity and permanence of a stage-structured pest management SI model with time delay and diseased pest impulsive transmission

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  • Jiao, Jianjun
  • Meng, Xinzhu
  • Chen, Lansun

Abstract

In this paper, we consider a stage-structured pest management SI model with time delay and diseased pests impulsive transmission. We obtain the sufficient conditions of the global attractivity of pest-extinction boundary periodic solution and the permanence of the system. We also prove that all solutions of the system are uniformly ultimately bounded. Our results provide a reliable tactic basis for the practice of pest management.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:3:p:658-668
    DOI: 10.1016/j.chaos.2007.01.003
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    Cited by:

    1. 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.

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