Permanence and extinction of periodic predator-prey systems in a patchy environment with delay

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	Permanence and extinction of periodic predator-prey systems in a patchy environment with delay
	Teng, ZD ; Chen, LS
	2003-06-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	4 期号:2 页码:335-364
摘要	This paper studies two species predator-prey Lotka-Volterra type dispersal systems with periodic coefficients and infinite delays, in which the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. Sufficient and necessary conditions of integrable form for the permanence, extinction and the existence of positive periodic solutions are established, respectively. Some well-known results on the nondelayed periodic predator-prey Lotka-Volterra type dispersal systems are improved and extended to the delayed case. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	Lotka-Volterra system dispersion delay predator-prey permanence extinction periodic solution
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000180147600010
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/18632
专题	中国科学院数学与系统科学研究院
通讯作者	Teng, ZD
作者单位	1.Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Teng, ZD,Chen, LS. Permanence and extinction of periodic predator-prey systems in a patchy environment with delay[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2003,4(2):335-364.
APA	Teng, ZD,&Chen, LS.(2003).Permanence and extinction of periodic predator-prey systems in a patchy environment with delay.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,4(2),335-364.
MLA	Teng, ZD,et al."Permanence and extinction of periodic predator-prey systems in a patchy environment with delay".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 4.2(2003):335-364.