A Pest Management Epidemic Model with Time Delay and Stage-Structure

Yumin Ding, Shujing Gao, Yujiang Liu, Yun Lan

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DOI: 10.4236/am.2010.13026                

Abstract

In this paper, an SI epidemic model with stage structure is investigated. In this model, impulsive biological control which release infected pest to the field at a fixed time periodically is considered, and obtained the sufficient conditions for the global attractivity of pest-extinction periodic solution and permanence of the system. We also prove that all solutions of the model are uniformly ultimately bounded. The sensitive analysis on the two thresholds and to the changes of the releasing amounts of infected pest is shown by numerical simulations. Our results provide a reliable tactic basis for the practice of pest management.

Keywords

Pest Management, Stage Structure, Impulsive System, Permanence

Conflicts of Interest

The authors declare no conflicts of interest.

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