Global dynamics behaviors for a nonautonomous Lotka-Volterra almost periodic dispersal system with delays

doi:10.1016/j.na.2007.04.006

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	Global dynamics behaviors for a nonautonomous Lotka-Volterra almost periodic dispersal system with delays
	Meng, Xinzhu 1,2; Jiao, Jianjun 3; Chen, Lansun 2,4
	2008-06-12
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	68 期号:12 页码:3633-3645
摘要	A nonautonomous Lotka-Volterra dispersal system with continuous delays and discrete delays is considered. By using a comparison theorem and delay differential equation basic theory, we obtain sufficient conditions for the permanence of the population in every patch. By constructing a suitable Lyapunov functional, we prove that the system is globally asymptotically stable under some appropriate conditions. Using almost periodic functional hull theory, we get sufficient conditions for the existence, uniqueness and globally asymptotical stability for an almost periodic Solution. This implies that the population in every patch exhibits stable almost periodic fluctuation. Furthermore, the results show that the permanence and global stability of system, and the existence and uniqueness of a positive almost periodic Solution, depend on the delay; then we call it "profitless". (C) 2007 Elsevier Ltd. All rights reserved.
关键词	delays diffusion hull global asymptotic stability almost periodic solution
DOI	10.1016/j.na.2007.04.006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000256503800004
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/6415
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.Guizhou Coll Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China 4.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xinzhu,Jiao, Jianjun,Chen, Lansun. Global dynamics behaviors for a nonautonomous Lotka-Volterra almost periodic dispersal system with delays[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2008,68(12):3633-3645.
APA	Meng, Xinzhu,Jiao, Jianjun,&Chen, Lansun.(2008).Global dynamics behaviors for a nonautonomous Lotka-Volterra almost periodic dispersal system with delays.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,68(12),3633-3645.
MLA	Meng, Xinzhu,et al."Global dynamics behaviors for a nonautonomous Lotka-Volterra almost periodic dispersal system with delays".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 68.12(2008):3633-3645.