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

被引：3

作者：

Xu, R ^{[1
]}

Chen, LS

Chaplain, MAJ

机构：

[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

来源：

ANZIAM JOURNAL | 2004年 / 46卷

关键词：

D O I：

10.1017/S1446181100013729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：121 / 141

页数：21

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