Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

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	Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays
	Xu, R ; Chaplain, MAJ ; Chen, LS
	2002-08-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	130 期号:2-3 页码:295-309
摘要	By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small. (C) 2002 Elsevier Science Inc. All rights reserved.
关键词	nonautonomous Lotka-Volterra competitive system infinite delay global asymptotic stability Lyapunov functional
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000176782200008
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17487
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, R
作者单位	1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, R,Chaplain, MAJ,Chen, LS. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays[J]. APPLIED MATHEMATICS AND COMPUTATION,2002,130(2-3):295-309.
APA	Xu, R,Chaplain, MAJ,&Chen, LS.(2002).Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays.APPLIED MATHEMATICS AND COMPUTATION,130(2-3),295-309.
MLA	Xu, R,et al."Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays".APPLIED MATHEMATICS AND COMPUTATION 130.2-3(2002):295-309.