Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model

被引：38
|
作者：
Huo, HF [1 ]
Li, WT
机构：
[1] Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
discrete Leslie-Gower predator-prey model; periodic solution; permanence; global stability;
D O I：
10.1016/j.mcm.2004.02.026
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The discrete Leslie-Gower predator-prey model is studied. The model allows for a fluctuating environment. Sufficient conditions which guarantee the permanence of the model are obtained at first, assuming that the coefficients in the model are periodic, the existence of periodic solution are also obtained. Finally, by linearization of the model at positive periodic solution and construction of Lyapunov function, sufficient conditions are obtained to ensure the global stability of the positive periodic solution. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：261 / 269
页数：9
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