Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 656549, 19 pages
doi:10.1155/2009/656549
Extinction in nonautonomous discrete Lotka-Volterra competitive system with pure delays and feedback controls
Ling Zhang1
, Zhidong Teng1
, Tailei Zhang1
and Shujing Gao4
1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
4College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China
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.