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
相关论文
共 50 条
  • [21] On the global stability of an epidemic model of computer viruses
    Mohammad Reza Parsaei
    Reza Javidan
    Narges Shayegh Kargar
    Hassan Saberi Nik
    Theory in Biosciences, 2017, 136 : 169 - 178
  • [22] Global stability of an SEIR epidemic model with vaccination
    Wang, Lili
    Xu, Rui
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2016, 9 (06)
  • [23] Global stability of an sirs epidemic model with delays
    Zhen, J
    Ma, Z
    Han, M
    ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 291 - 306
  • [24] Global Stability of a Nonlocal Epidemic Model with Delay
    Zhang, Liang
    Sun, Jian-Wen
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (03): : 577 - 587
  • [25] Global stability in a networked SIR epidemic model
    Tian, Canrong
    Zhang, Qunying
    Zhang, Lai
    APPLIED MATHEMATICS LETTERS, 2020, 107
  • [26] Global stability for a four dimensional epidemic model
    Buonomo, Bruno
    Lacitignola, Deborah
    NOTE DI MATEMATICA, 2010, 30 (02): : 83 - 95
  • [27] Global stability of an SIS epidemic model with delays
    Fushimi, Kei
    Enatsu, Yoichi
    Ishiwata, Emiko
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (13) : 5345 - 5354
  • [28] Global Stability for an SEIR Epidemic Model with Vaccination
    Yang, Yali
    Li, Jianquan
    Qin, Yan
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 691 - 694
  • [29] GLOBAL STABILITY OF AN SIRS EPIDEMIC MODEL WITH DELAYS
    靳祯
    马知恩
    韩茂安
    Acta Mathematica Scientia, 2006, (02) : 291 - 306
  • [30] GLOBAL STABILITY RESULTS AND WELL POSEDNESS OF AN SI AGE-STRUCTURED EPIDEMIC MODEL WITH VERTICAL TRANSMISSION
    El-Doma, M.
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2006, 1 (02): : 125 - 139
12345