Global dynamics of the periodic logistic system with periodic impulsive perturbations

doi:10.1016/j.jmaa.2003.09.058

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	Global dynamics of the periodic logistic system with periodic impulsive perturbations
	Liu, XN ; Chen, LS
	2004
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	289 期号:1 页码:279-291
摘要	This paper studies the global behaviors of the periodic logistic system with periodic impulsive perturbations. The results of D.D. Bainov and P.S. Simeonov (1993) are extended and dynamics different from the corresponding continuous system are found. It is shown that the system may have a unique positive periodic solution which is globally asymptotically stable, or go extinct when the two periods are rational dependent. When they are rational independent, the system has no periodic solutions, however, still has a global attractor or go extinct under some conditions. (C) 2003 Elsevier Inc. All rights reserved.
关键词	impulsive perturbation logistic system global asymptotical stability extinction
DOI	10.1016/j.jmaa.2003.09.058
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000187346400022
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/19646
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, XN
作者单位	1.SW China Normal Univ, Dept Math, 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, XN,Chen, LS. Global dynamics of the periodic logistic system with periodic impulsive perturbations[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,289(1):279-291.
APA	Liu, XN,&Chen, LS.(2004).Global dynamics of the periodic logistic system with periodic impulsive perturbations.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,289(1),279-291.
MLA	Liu, XN,et al."Global dynamics of the periodic logistic system with periodic impulsive perturbations".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 289.1(2004):279-291.