Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays

doi:10.1016/j.amc.2005.01.067

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	Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays
	Xu, R ; Chen, LS ; Hao, FL
	2005-12-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	171 期号:1 页码:511-530
摘要	An n-species periodic Lotka-Volterra type simple food-chain model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing Suitable Lyapunov functionals, sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. Numerical simulations are presented to illustrate our main results. (c) 2005 Elsevier Inc. All rights reserved.
关键词	food chain delay periodic solution Lyapunov functional global stability
DOI	10.1016/j.amc.2005.01.067
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000234583800034
出版者	ELSEVIER SCIENCE 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/2247
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.Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, R,Chen, LS,Hao, FL. Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,171(1):511-530.
APA	Xu, R,Chen, LS,&Hao, FL.(2005).Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays.APPLIED MATHEMATICS AND COMPUTATION,171(1),511-530.
MLA	Xu, R,et al."Periodic solutions of an n-species Lotka-Volterra type food-chain model with time delays".APPLIED MATHEMATICS AND COMPUTATION 171.1(2005):511-530.