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Discrete Dynamics in Nature and Society
Volume 2010, Article ID 962639, 21 pages
Research Article

Modelling and Analysis of a Pest-Control Pollution Model with Integrated Control Tactics

Department 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.


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