Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects

doi:10.1007/s10114-004-0333-3

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	Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
	Hui, J ; Chen, LS
	2004-06-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:3 页码:423-432
摘要	The general system of differential equations describing predator-prey dynamics with impulsive effects is modified by the assumption that the coefficients are periodic functions of time. By use of standard techniques of bifurcation theory, it is known that this system has a positive periodic solution provided the time average of the predator's net uninhibited death rate is in a suitable range. The bifurcation is from the periodic solution of the time-dependent logistic equation for the prey (which results in the absence of predator).
关键词	existence stability periodic solution impulsive effects
DOI	10.1007/s10114-004-0333-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221782600004
出版者	SPRINGER-VERLAG HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19494
专题	中国科学院数学与系统科学研究院
通讯作者	Hui, J
作者单位	1.Guangxi Inst Technol, Dept Informat & Computat Sci, Liuzhou 545006, 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	Hui, J,Chen, LS. Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(3):423-432.
APA	Hui, J,&Chen, LS.(2004).Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(3),423-432.
MLA	Hui, J,et al."Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.3(2004):423-432.