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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 589202, 14 pages
Research Article

The Permanence and Extinction of the Single Species with Contraception Control and Feedback Controls

1Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, China
2Department of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830051, China

Received 8 February 2012; Accepted 3 April 2012

Academic Editor: Elena Braverman

Copyright © 2012 Qiuying Li 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.


Population control has become a major problem in many wildlife species. Sterility control through contraception has been proposed as a method for reducing population size. In this paper, the single species with sterility control and feedback controls is considered. Sufficient conditions are obtained for the permanence and extinction of the system. The results show that the feedback controls do not influence the permanence of the species.