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
收藏
页码：53 / 55
页数：3
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