Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion

doi:10.1016/j.amc.2006.09.133

	Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion
	Meng, Xinzhu ; Xu, Weijian ; Chen, Lansun
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2007-05-01
卷号	188 期号:1 页码:365-378
关键词	time delay dispersion Hull globally asymptotic stability almost periodic solution
ISSN号	0096-3003
DOI	10.1016/j.amc.2006.09.133
英文摘要	This paper studies a nonautonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of two-patches, the prey species can disperse among two-patches, but the predator species is confined to one patch and cannot disperse. By using comparison theorem and delay differential equation basic theory, we prove the system is uniformly persistent under some appropriate conditions. Further, by constructing suitable Lyapunov functional, we show that the system is globally asymptotically stable under some appropriate conditions. By using a new method and almost periodic functional hull theory, we show that the almost periodic system has a unique globally asymptotical stable strictly positive almost periodic solution. The conditions for the permanence, global stability of system and the existence, uniqueness of positive almost periodic solution depend on delays, so, time delays are "profitless". Finally, ecological conclusions and a particular case are given. These results are basically an extension of the known results for nonautonomous Lotka-Volterra systems. (C) 2006 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000247191700043
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/4261]
专题	中国科学院数学与系统科学研究院
通讯作者	Meng, Xinzhu
作者单位	1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Shandong, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 3.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Yulin Teachers Coll, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xinzhu,Xu, Weijian,Chen, Lansun. Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,188(1):365-378.
APA	Meng, Xinzhu,Xu, Weijian,&Chen, Lansun.(2007).Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion.APPLIED MATHEMATICS AND COMPUTATION,188(1),365-378.
MLA	Meng, Xinzhu,et al."Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion".APPLIED MATHEMATICS AND COMPUTATION 188.1(2007):365-378.