Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays

doi:10.1016/j.jtbi.2006.07.010

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	Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays
	Meng, Xinzhu ; Chen, Lansun
	2006-12-21
发表期刊	JOURNAL OF THEORETICAL BIOLOGY
ISSN	0022-5193
卷号	243 期号:4 页码:562-574
摘要	This paper studies a non-autonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of n-patches, the prey species can disperse among n-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 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, conclusions and two particular cases are given. These results are basically an extension of the known results for non-autonomous Lotka-Volterra systems. (c) 2006 Elsevier Ltd. All rights reserved.
关键词	time delay dispersion hull globally asymptotic stability almost periodic solution
DOI	10.1016/j.jtbi.2006.07.010
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:000242769300010
出版者	ACADEMIC PRESS LTD 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/3372
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.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Shandong Univ Sci & Technol, Fac Sci, Qingdao 266510, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xinzhu,Chen, Lansun. Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays[J]. JOURNAL OF THEORETICAL BIOLOGY,2006,243(4):562-574.
APA	Meng, Xinzhu,&Chen, Lansun.(2006).Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays.JOURNAL OF THEORETICAL BIOLOGY,243(4),562-574.
MLA	Meng, Xinzhu,et al."Almost periodic solution of non-autonomous Lotka-Volterra predator-prey dispersal system with delays".JOURNAL OF THEORETICAL BIOLOGY 243.4(2006):562-574.