Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls
Author(s) -
Ling Zhang,
Zhidong Teng,
Tailei Zhang,
Shujing Gao
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/656549
Subject(s) - extinction (optical mineralogy) , mathematics , lyapunov function , discrete time and continuous time , computer science , control theory (sociology) , control (management) , statistics , artificial intelligence , physics , nonlinear system , quantum mechanics , optics
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
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