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Mathematical Problems in Engineering
Volume 2013, Article ID 168979, 8 pages
Research Article

Optimal Control of Agricultural Insects with a Stage-Structured Model

1School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116029, China
2Department of Mathematics, Anshan Normal University, Anshan, Liaoning 114007, China

Received 13 May 2013; Accepted 8 July 2013

Academic Editor: Hai-Feng Huo

Copyright © 2013 Baolin Kang 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 stage-structured pest control model with impulse effects by state feedback control is formulated, and a semicontinuous dynamic system and its successor functions are defined. The sufficient conditions of existence and attractiveness of order one periodic solution are obtained by the method of successor functions. The superiority of the state feedback control strategy in this paper is that we only need to monitor the sum of immature and mature pest populations. Moreover, our results show that our method used in this paper is more efficient and easier than the existing methods.