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Discrete Dynamics in Nature and SocietyVolume 2010 2010, Article ID 962639, 21 pages

Research ArticleDepartment of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, China

Received 24 August 2010; Accepted 11 October 2010

Academic Editor: Zhen Jin

Copyright © 2010 Yiping Chen et al. 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.

Abstract

A hybrid impulsive pest control model with stage structure for pest and HollingII functional response is proposed and investigated, in which the effects of impulsive pesticideinput in the environment and in the organism are considered. Sufficient conditions for globalattractiveness of the pest-extinction periodic solution and permanence of the system are obtained,which show that there exists a globally asymptotically stable pest-extinction periodicsolution when the number of natural enemies released is more than some critical value, whereasthe system can be permanent when the number of natural enemies released is less than anothercritical value. Furthermore, numerical simulations are carried out to illustrate our theoreticalresults and facilitate their interpretation.





Autor: Yiping Chen, Zhijun Liu, and Wenjie Qin

Fuente: https://www.hindawi.com/



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