Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay

doi:10.1016/j.jde.2006.06.007

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	Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
	Tang, Xianhua ; Cao, Daomin; Zou, Xingfu
	2006-09-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	228 期号:2 页码:580-610
摘要	We consider a periodic Lotka-Volterra competition system without instantaneous negative feedbacks (i.e., pure-delay systems) x(i)(t) = x(i)(t)[r(i)(t) - Sigma(n)(j=1) a(ij)(t - tau(ij)(t))], i = 1,2,...,n. some 3/2-type criteria for global attractivity of a positive periodic solution of the system, which generalize the well-known Wright's 3/2 criteria for the autonomous delay logistic equation, and thereby, address the open problem proposed by both Kuang [Y. Kuang, Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria, Differential Integral Equations 9 (1996) 557-567] and Teng [Z. Teng, Nonautonomous Lotka-Volterra systems with delays, J. Differential Equations 179 (2002) 538-5611. (c) 2006 Elsevier Inc. All rights reserved.
关键词	positive periodic solution Lotka-Volterra competition system Pure delay 3/2-type conditions global attractivity
DOI	10.1016/j.jde.2006.06.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000240802800007
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3801
专题	应用数学研究所
通讯作者	Zou, Xingfu
作者单位	1.Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100080, Peoples R China 3.Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Tang, Xianhua,Cao, Daomin,Zou, Xingfu. Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2006,228(2):580-610.
APA	Tang, Xianhua,Cao, Daomin,&Zou, Xingfu.(2006).Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay.JOURNAL OF DIFFERENTIAL EQUATIONS,228(2),580-610.
MLA	Tang, Xianhua,et al."Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay".JOURNAL OF DIFFERENTIAL EQUATIONS 228.2(2006):580-610.