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Stage-Structured Impulsive S I Model for Pest Management

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  • Ruiqing Shi
  • Lansun Chen

Abstract

An S I epidemic model with stage structure is investigated. In the model, impulsive biological control is taken, that is, we release infected pests to the field at a fixed time periodically. We get a sufficient condition for the global asymptotical stability of the pest-eradication periodic solution ( 0 , 0 , I ˜ ( t ) ) , and a condition for the permanence of the system. At last, a brief discussion shows that our results will be helpful for pest management.

Suggested Citation

  • Ruiqing Shi & Lansun Chen, 2007. "Stage-Structured Impulsive S I Model for Pest Management," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-11, January.
    • Handle: RePEc:hin:jnddns:097608
    DOI: 10.1155/2007/97608
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