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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 832701, 18 pages
http://dx.doi.org/10.1155/2013/832701
Research Article

Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting

Department of Mathematics, Chongqing Normal University, Chongqing 400047, China

Received 16 January 2013; Accepted 27 February 2013

Academic Editor: Chuangxia Huang

Copyright © 2013 Jiangtao Yang and Zhichun Yang. 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

We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results. Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results.