Global attractivity of positive periodic solutions for nonlinear impulsive systems

doi:10.1016/j.na.2005.10.041

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	Global attractivity of positive periodic solutions for nonlinear impulsive systems
	Liu, Xianning ; Chen, Lansun
	2006-11-15
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	65 期号:10 页码:1843-1857
摘要	In this paper, the existence, uniqueness and global attractivity of positive periodic solutions for nonlinear impulsive systems are studied. Firstly, existence conditions are established by the method of lower and upper solutions. Then uniqueness and global attractivity are obtained by developing the theories of monotone and concave operators. And lastly, the method and the results are applied to the impulsive n-species cooperative Lotka-Volterra system and a model of a single-species dispersal among n-patches. (c) 2005 Elsevier Ltd. All rights reserved.
关键词	impulse periodic solutions cooperative systems concave operators global attractivity
DOI	10.1016/j.na.2005.10.041
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000240774800002
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/3498
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Xianning
作者单位	1.SW China NOrmal Univ, Sch Math & Finance, Minist Educ, Key Lab Ecoenvironm 3 Gorges Reservoir Reg, Chongqing 400715, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xianning,Chen, Lansun. Global attractivity of positive periodic solutions for nonlinear impulsive systems[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2006,65(10):1843-1857.
APA	Liu, Xianning,&Chen, Lansun.(2006).Global attractivity of positive periodic solutions for nonlinear impulsive systems.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,65(10),1843-1857.
MLA	Liu, Xianning,et al."Global attractivity of positive periodic solutions for nonlinear impulsive systems".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 65.10(2006):1843-1857.