Dynamics of a three-species ratio-dependent diffusive model

被引：3
|
作者：
Hu, Zhixing [1 ]
Gao, Guangke [1 ]
Ma, Wanbiao [1 ]
机构：
[1] Beijing Univ Sci & Technol, Dept Appl Math & Mech, Beijing 100083, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期
关键词：
Ratio-dependent; Stage-structure; Permanence; Periodic solution; Global asymptotic stability; Almost periodic solution; SYSTEM;
D O I：
10.1016/j.nonrwa.2009.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonautonomous ratio-dependent diffusive model of three species. By using the fixed point theorem of Brouwer and the theory of differential inequality and constructing a suitable Lyapunov function, sufficient conditions are obtained which guarantee the existence, uniqueness and stability of positive periodic solution. At last, some results are proved with the technology of numerical simulation. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2106 / 2114
页数：9
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