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Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls
Authors:Jiabo Xu  Zhidong Teng  Haijun Jiang
Institution:1.College of Mathematics and System Sciences,Xinjiang University,Urumqi,People’s Republic of China
Abstract:A discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls is proposed and investigated. By using the method of discrete Lyapunov functionals, new sufficient conditions on the permanence of species and global attractivity of the system are established. Particularly, an interesting fact is found in our results, that is, the feedback controls are harmless to the permanence of species for the considered system.
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