Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 945109, 8 pages
Research Article

Permanence for a Discrete Model with Feedback Control and Delay

Yong-Hong Fan1,2 and Lin-Lin Wang1,2

1School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, China
2Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received 9 April 2008; Accepted 27 May 2008

Academic Editor: Leonid Berezansky

Copyright © 2008 Yong-Hong Fan and Lin-Lin Wang. 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.


The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the additional condition in Chen's paper (2007) is deleted.