Modeling and analysis of a periodic delayed two-species model of facultative mutualism

被引：33

作者：

Liu, Zhijun ^{[1
,2
]}

Wu, Jianhua ^{[2
]}

Tan, Ronghua ^{[1
]}

Chen, Yiping ^{[1
]}

机构：

[1] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 02期

基金：

中国博士后科学基金;

关键词：

Facultative mutualism; Delay; Periodic solution; Globally asymptotic stability; DIFFERENTIAL-EQUATIONS; SYSTEM; PERMANENCE; ATTRACTIVITY; STABILITY;

D O I：

10.1016/j.amc.2010.06.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a periodic delayed two-species system modeling facultative mutualism. By using the method of coincidence degree and Lyapunov functional, easily verifiable sufficient conditions for the existence and globally asymptotic stability of positive periodic solutions of the above system. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：893 / 903

页数：11

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