Global stability of an SI epidemic model with feedback controls

被引：45

作者：

Chen, Lijuan ^{[1
,2
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 28卷

基金：

中国国家自然科学基金;

关键词：

Global stability; Feedback controls; SI; Epidemic model; SYSTEM; DYNAMICS;

D O I：

10.1016/j.aml.2013.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an SI epidemic model with feedback controls is first proposed. By constructing a suitable Lyapunov function, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. The results we obtained show that by choosing suitable values of feedback control variables, we can make the disease endemic or extinct. In other words, feedback control variables play an important role in dealing with the disease. An example is presented to verify our main results. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：53 / 55

页数：3

共 9 条

[1] A note on the existence of positive bounded solutions for an epidemic model [J].

Ding, Hui-Sheng ;

N'Guerekata, Gaston M. .

APPLIED MATHEMATICS LETTERS, 2013, 26 (08) :881-885

[2]

Gopalsamy K., 1993, Inthernational Journal of Mathematics Sciencess, V16, P177, DOI [10.1155/S0161171293000213, DOI 10.1155/S0161171293000213]

[3] Positive periodic solutions of a class of delay differential system with feedback control [J].

Huo, HF ;

Li, WT .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (01) :35-46

[4] Permanence and global stability in a discrete n-species competition system with feedback controls [J].

Liao, Xinyuan ;

Zhou, Shengfan ;

Chen, Yuming .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) :1661-1671

[5] Dynamics of an SI epidemic model with external effects in a polluted environment [J].

Liu, Bing ;

Duan, Ying ;

Luan, Shi .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) :27-38

[6] Mixed SI (R) epidemic dynamics in random graphs with general degree distributions [J].

Shang, Yilun .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) :5042-5048

[7] A model of feedback control system on network and its stability analysis [J].

Su, Huan ;

Qu, Yanbin ;

Gao, Shang ;

Song, Huihui ;

Wang, Ke .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (07) :1822-1831

[8] Effect of media-induced social distancing on disease transmission in a two patch setting [J].

Sun, Chengjun ;

Yang, Wei ;

Arino, Julien ;

Khan, Kamran .

MATHEMATICAL BIOSCIENCES, 2011, 230 (02) :87-95

[9] Permanence for a nonautonomous discrete single-species system with delays and feedback control [J].

Xu, Jiabo ;

Teng, Zhidong .

APPLIED MATHEMATICS LETTERS, 2010, 23 (09) :949-954

← 1 →