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

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	Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays
	Xu, R ; Chen, LS ; Chaplain, MAJ
	2003-04-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	23 期号:2 页码:208-218
摘要	A delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solutions of the system. As a corollary, it is shown 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 delays are sufficiently small.
关键词	nonautonomous Lotka-Volterra competitive system finite and infinite delay global asymptotic stability Lyapunov functional
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000182833300008
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18795
专题	中国科学院数学与系统科学研究院
作者单位	1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
推荐引用方式 GB/T 7714	Xu, R,Chen, LS,Chaplain, MAJ. Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays[J]. ACTA MATHEMATICA SCIENTIA,2003,23(2):208-218.
APA	Xu, R,Chen, LS,&Chaplain, MAJ.(2003).Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays.ACTA MATHEMATICA SCIENTIA,23(2),208-218.
MLA	Xu, R,et al."Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with delays".ACTA MATHEMATICA SCIENTIA 23.2(2003):208-218.