The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems

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	The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems
	Li, XZ ; Gupur, G ; Ji, XH
	2001-05-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	14 期号:4 页码:469-476
摘要	In this paper, by introducing a concept called the degree of species, we obtain a set of sufficient conditions for the ultimate boundedness of nonautonomous n-species Lotka-Volterra tree systems. As a consequence, we also obtain the criteria of the existence of a globally stable equilibrium point for the autonomous Lotka-Volterra tree system. The criteria in this paper are in explicit forms of the parameters, and thus, are easily verifiable. (C) 2001 Elsevier Science Ltd. All rights reserved.
关键词	Lotka-Volterra tree systems nonautonomous degree of species ultimate boundedness
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000168011400013
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/15896
专题	中国科学院数学与系统科学研究院
通讯作者	Li, XZ
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Xinyang Teachers Coll, Dept Math, Henan 464000, Peoples R China 3.Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China 4.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, XZ,Gupur, G,Ji, XH. The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems[J]. APPLIED MATHEMATICS LETTERS,2001,14(4):469-476.
APA	Li, XZ,Gupur, G,&Ji, XH.(2001).The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems.APPLIED MATHEMATICS LETTERS,14(4),469-476.
MLA	Li, XZ,et al."The criteria of ultimate boundedness for nonautonomous Lotka-Volterra tree systems".APPLIED MATHEMATICS LETTERS 14.4(2001):469-476.