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Discrete Dynamics in Nature and Society
Volume 2009, Article ID 306425, 10 pages
Research Article

Feedback Control Variables Have No Influence on the Permanence of a Discrete -Species Cooperation System

1Ministry of Science Training, Fujian Institute of Education, Fuzhou, Fujian 350001, China
2Department of Mathematics, Ningde Teachers College, Ningde, Fujian 352100, China
3College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Received 14 March 2009; Revised 28 June 2009; Accepted 27 July 2009

Academic Editor: Leonid Berezansky

Copyright © 2009 Liujuan 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 new set of sufficient conditions for the permanence of a discrete -species cooperation system with delays and feedback controls are obtained. Our result shows that feedback control variables have no influence on the persistent property of the discrete cooperative system, thus improves and supplements the main result of F. D. Chen (2007).