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
  • [31] Flip bifurcations of an SIR epidemic model with birth pulse and pulse vaccination
    Liu, Xiangsen
    Dai, Binxiang
    APPLIED MATHEMATICAL MODELLING, 2017, 43 : 579 - 591
  • [32] Pulse vaccination strategy in a delayed SIR Epidemic Model with vertical transmission
    Gao, Shujing
    Xie, Dehui
    Chen, Lansun
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2007, 7 (01): : 77 - 86
  • [33] Global stability of a generalized epidemic model
    Iwami, Shingo
    Hara, Tadayuki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 362 (02) : 286 - 300
  • [34] GLOBAL ASYMPTOTIC STABILITY OF ENDEMIC EQUILIBRIA FOR A DIFFUSIVE SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE AND LOGISTIC GROWTH
    Chiyo, Yutaro
    Tanaka, Yuya
    Uchida, Ayako
    Yokota, Tomomi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03): : 2184 - 2210
  • [35] Output trajectory controllability of a discrete-time sir epidemic model
    Benahmadi, Lahbib
    Lhous, Mustapha
    Tridane, Abdessamad
    Rachik, Mostafa
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2023, 18
  • [36] DYNAMICS OF AN ULTRA-DISCRETE SIR EPIDEMIC MODEL WITH TIME DELAY
    Sekiguchi, Masaki
    Ishiwata, Emiko
    Nakata, Yukihiko
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2018, 15 (03) : 653 - 666
  • [37] On the nonstandard numerical discretization of SIR epidemic model with a saturated incidence rate and vaccination
    Suryanto, Agus
    Darti, Isnani
    AIMS MATHEMATICS, 2021, 6 (01): : 141 - 155
  • [38] GLOBAL STABILITY FOR DELAY SIR AND SEIR EPIDEMIC MODELS WITH SATURATED INCIDENCE RATES
    Abta, Abdelhadi
    Kaddar, Abdelilah
    Alaoui, Hamad Talibi
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [39] Global dynamics of a fractional-order SIR epidemic model with memory
    Naik, Parvaiz Ahmad
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (08)
  • [40] Global Stability of a Nonlocal Epidemic Model with Delay
    Zhang, Liang
    Sun, Jian-Wen
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (03): : 577 - 587
12345