Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback

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	Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback
	Xu, R ; Chen, LS
	2001-10-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	262 期号:1 页码:50-61
摘要	A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the system. (C) 2001 Academic Press.
关键词	uniform persistence global stability delay Lyapunov functional
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000171443400005
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16509
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, R
作者单位	1.Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, R,Chen, LS. Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,262(1):50-61.
APA	Xu, R,&Chen, LS.(2001).Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,262(1),50-61.
MLA	Xu, R,et al."Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 262.1(2001):50-61.