The numerical simulation of periodic solutions for a predator-prey system

被引：0
作者：
Lua, Chun [1 ,2 ]
Ding, Xiaohua [2 ]
Liu, Mingzhu [3 ]
机构：
[1] Qingdao Technol Univ, Dept Math, Qingdao 266520, Peoples R China
[2] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Semi-ratio-dependent predator-prey system; Periodic solution; Lyapunov functional; Global stability; EXISTENCE;
D O I：
10.1016/j.camwa.2009.10.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the existence and global stability of periodic solutions for a semi-ratio-dependent predator-prey system with Holling IV functional response and time delays are investigated. Using coincidence degree theory and Lyapunov method, sufficient conditions for the existence and global stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：868 / 879
页数：12
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