Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays

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	Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays
	Liu, SQ; Chen, LS
	2003-08-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	16 期号:6 页码:911-917
摘要	In this paper, the necessary and sufficient conditions for permanence and extinction of the autonomous two-species Lotka-Volterra system with distributed delays are given. Some previous results are improved and extended. Moreover, it is shown in our paper that the permanence and extinction of the distributed-delayed system is equivalent to that of its nondelayed system. (C) 2003 Elsevier Science Ltd. All rights reserved.
关键词	necessary and sufficient conditions Lotka-Volterra system distributed delays extinction permanence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000185357200017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18939
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, SQ
作者单位	Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, SQ,Chen, LS. Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays[J]. APPLIED MATHEMATICS LETTERS,2003,16(6):911-917.
APA	Liu, SQ,&Chen, LS.(2003).Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays.APPLIED MATHEMATICS LETTERS,16(6),911-917.
MLA	Liu, SQ,et al."Necessary-sufficient conditions for permanence and extinction in Lotka-Volterra system with distributed delays".APPLIED MATHEMATICS LETTERS 16.6(2003):911-917.