Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 872738, 18 pages
doi:10.1155/2011/872738
Research Article

Feedback Control in a Periodic Delay Single-Species Difference System

1Key Laboratory of Biological Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, China
2Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China

Received 19 October 2010; Accepted 8 January 2011

Academic Editor: Li Xian Zhang

Copyright © 2011 Yi Yang and Zhijun Liu. 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 periodic delay single-species difference system with feedback control is established. With the help of analysis method and Lyapunov function, a good understanding of the permanence and global attractivity of the system is gained. Numerical simulations are presented to verify the validity of the proposed criteria. Our results show that feedback control has no influence on the permanence while it has influence on the global attractivity of the system.