Persistence and global stability in a delayed predator-prey system with Holling-type functional response

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	Persistence and global stability in a delayed predator-prey system with Holling-type functional response
	Xu, R ; Chen, LS ; Chaplain, MAJ
	2004-07-01
发表期刊	ANZIAM JOURNAL
ISSN	1446-1811
卷号	46 页码:121-141
摘要	A delayed predator-prey system with Holling type III functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of suitable Lyapunov functionals, sufficient conditions are derived for the local and global asymptotic stability of a positive equilibrium of the system. Numerical simulations are presented to illustrate the feasibility of our main results.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000224267600010
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC 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/831
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, Inst Math, Beijing 100080, Peoples R China 3.Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
推荐引用方式 GB/T 7714	Xu, R,Chen, LS,Chaplain, MAJ. Persistence and global stability in a delayed predator-prey system with Holling-type functional response[J]. ANZIAM JOURNAL,2004,46:121-141.
APA	Xu, R,Chen, LS,&Chaplain, MAJ.(2004).Persistence and global stability in a delayed predator-prey system with Holling-type functional response.ANZIAM JOURNAL,46,121-141.
MLA	Xu, R,et al."Persistence and global stability in a delayed predator-prey system with Holling-type functional response".ANZIAM JOURNAL 46(2004):121-141.