Stage-Structured Impulsive <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:math> Model for Pest Management

Shi, Ruiqing; Chen, Lansun

doi:https://doi.org/10.1155/2007/97608

Discrete Dynamics in Nature and Society

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Research Article | Open Access

Volume 2007 | Article ID 097608 | https://doi.org/10.1155/2007/97608

Stage-Structured Impulsive SI Model for Pest Management

Ruiqing Shi^1,2and Lansun Chen¹

Received18 Apr 2007

Revised16 Jul 2007

Accepted05 Nov 2007

Published30 Jan 2008

Abstract

An SI 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.

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Copyright

Copyright © 2007 Ruiqing Shi and Lansun Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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