Global stability of a discrete SIR epidemic model with vaccination and treatment

被引：20
|
作者：
Cui, Qianqian [1 ]
Zhang, Qiang [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China
[2] Shihezi Univ, Coll Sci, Shihezi 832000, Xinjiang, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2015年 / 21卷 / 02期
关键词：
dynamically consistent; SIR epidemic model; globally asymptotically stable; NSFD scheme; discrete-time model; FINITE-DIFFERENCE SCHEMES; NSFD SCHEME; EQUATIONS;
D O I：
10.1080/10236198.2014.990450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a discrete susceptible-infected-removed epidemic model with vaccination and treatment and it is shown that the global dynamics is determined by the basic reproduction number R-0. If R-0 < 1, then the disease-free equilibrium is globally asymptotically stable and if R-0 > 1, then the endemic equilibrium is globally asymptotically stable.
引用
收藏
页码：111 / 117
页数：7
相关论文
共 50 条
  • [1] Global stability of an SIR epidemic model with information dependent vaccination
    Buonomo, Bruno
    d'Onofrio, Alberto
    Lacitignola, Deborah
    MATHEMATICAL BIOSCIENCES, 2008, 216 (01) : 9 - 16
  • [2] Global Stability of an SIR Epidemic Model with the Nonlinear Vaccination Rate
    Wang, Xiaoyan
    Yang, Junyuan
    Zhang, Fengqin
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 4, 2009, : 501 - 504
  • [3] Global stability of the endemic equilibrium of a discrete SIR epidemic model
    Xia Ma
    Yicang Zhou
    Hui Cao
    Advances in Difference Equations, 2013
  • [4] Global stability of the endemic equilibrium of a discrete SIR epidemic model
    Ma, Xia
    Zhou, Yicang
    Cao, Hui
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [5] BIFURCATION AND STABILITY ANALYSIS OF A DISCRETE TIME SIR EPIDEMIC MODEL WITH VACCINATION
    Gumus, Ozlem A. K.
    Selvam, A. George Maria
    Vianny, D. Abraham
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (05): : 809 - 820
  • [6] Complete global stability for an SIR epidemic model with delay - Distributed or discrete
    McCluskey, C. Connell
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 55 - 59
  • [7] GLOBAL STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE TIME SIR EPIDEMIC MODEL
    Gumus, Ozlem Ak
    Cui, Qianqian
    Selvam, George Maria
    Vianny, Abraham
    MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) : 193 - 210
  • [8] Stability of a Stochastic Model of an SIR Epidemic with Vaccination
    Witbooi, P. J.
    ACTA BIOTHEORETICA, 2017, 65 (02) : 151 - 165
  • [9] Stability of a Stochastic Model of an SIR Epidemic with Vaccination
    P. J. Witbooi
    Acta Biotheoretica, 2017, 65 : 151 - 165
  • [10] GLOBAL STABILITY FOR A CLASS OF DISCRETE SIR EPIDEMIC MODELS
    Enatsu, Yoichi
    Nakata, Yukihiko
    Muroya, Yoshiaki
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (02) : 347 - 361
12345