Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 656549, 19 pages
doi:10.1155/2009/656549
Research Article

Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls

Ling Zhang,1 Zhidong Teng,1 Tailei Zhang,1 and Shujing Gao2

1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
2College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China

Received 25 June 2009; Accepted 12 October 2009

Academic Editor: Elena Braverman

Copyright © 2009 Ling Zhang 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.

Abstract

The paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of multiple discrete Lyapunov functionals.