Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 945109, 8 pages
Permanence for a Discrete Model with Feedback Control and Delay
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.