Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay

doi:10.1016/j.jmaa.2007.05.084

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	Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay
	Meng, Xinzhu 1,2; Chen, Lansun 2,3
	2008-03-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	339 期号:1 页码:125-145
摘要	This paper studies a nonautonomous Lotka-Volterra dispersal systems with infinite time delay which models the diffusion of a single species into n patches by discrete dispersal. Our results show that the system is uniformly persistent under an appropriate condition. The sufficient condition for the global asymptotical stability of the system is also given. By using Mawhin continuation theorem of coincidence degree, we prove that the periodic system has at least one positive periodic solution, further, obtain the uniqueness and globally asymptotical stability for periodic system. By using functional hull theory and directly analyzing the right functional of almost periodic system, we show that the almost periodic system has a unique globally asymptotical stable positive almost periodic solution. We also show that the delays have very important effects on the dynamic behaviors of the system. (c) 2007 Elsevier Inc. All rights reserved.
关键词	time delay dispersal hull equation asymptotic stability periodic solution and almost periodic solution
DOI	10.1016/j.jmaa.2007.05.084
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000252057000012
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/5390
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, Peoples R China 2.Dalian Univ Technol, Dept Appl Math, Dalian 116024, 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. Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2008,339(1):125-145.
APA	Meng, Xinzhu,&Chen, Lansun.(2008).Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,339(1),125-145.
MLA	Meng, Xinzhu,et al."Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 339.1(2008):125-145.