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

文献类型：期刊论文

作者Meng, Xinzhu1,2; Jiao, Jianjun3; Chen, Lansun2,4
刊名NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
出版日期2008-06-12
卷号68期号:12页码:3633-3645
关键词delays diffusion hull global asymptotic stability almost periodic solution
ISSN号0362-546X
DOI10.1016/j.na.2007.04.006
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000256503800004
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/6414]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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