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

Jianjun Jiao, Xinzhu Meng and Lansun Chen

Chaos, Solitons & Fractals, 2008, vol. 38, issue 3, 658-668

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:3:p:658-668

DOI: 10.1016/j.chaos.2007.01.003

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