Global attractivity of a discrete SIRS epidemic model with standard incidence rate

被引：10
|
作者：
Wang, Lei [1 ]
Teng, Zhidong [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 05期
基金：
中国国家自然科学基金;
关键词：
discrete SIRS epidemic model; basic reproduction number; global attractivity; iteration technique; endemic equilibrium; TIME SI; TRANSMISSION; PERMANENCE; DYNAMICS;
D O I：
10.1002/mma.2734
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a discrete Susceptible-Infected-Recovered-Susceptible (SIRS) epidemic model with standard incidence rate is studied. By means of the iteration technique and the comparison principle of difference equations, the sufficient conditions are obtained for the global attractivity of the endemic equilibrium when the basic reproduction number R0 is greater than unity. Two examples are given to illustrate the main theoretical results. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：601 / 619
页数：19
相关论文
共 50 条
  • [1] Bifurcation analysis of a discrete SIRS epidemic model with standard incidence rate
    Hu, Zengyun
    Chang, Linlin
    Teng, Zhidong
    Chen, Xi
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [2] Global attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidence
    Teng, Zhidong
    Wang, Lei
    Nie, Linfei
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 4741 - 4759
  • [3] Global Behaviors of a Class of Discrete SIRS Epidemic Models with Nonlinear Incidence Rate
    Wang, Lei
    Teng, Zhidong
    Zhang, Long
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] A NOTE ON THE GLOBAL ATTRACTIVITY FOR A ZIKV EPIDEMIC MODEL WITH SPATIAL STRUCTURE AND GENERAL INCIDENCE RATE
    Wu, Wenjing
    Liu, Shengqiang
    Wang, Jinliang
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (06): : 2471 - 2479
  • [5] BIFURCATION ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATE AND SATURATED TREATMENT FUNCTION
    Gao, Yixian
    Zhang, Weipeng
    Liu, Dan
    Xiao, Yanju
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (03): : 1070 - 1094
  • [6] Global dynamics of an SIRS epidemic model with saturation incidence
    Hao, Lijie
    Jiang, Guirong
    Liu, Suyu
    Ling, Lin
    [J]. BIOSYSTEMS, 2013, 114 (01) : 56 - 63
  • [7] BIFURCATIONS OF AN SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE
    Hu, Zhixing
    Bi, Ping
    Ma, Wanbiao
    Ruan, Shigui
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 15 (01): : 93 - 112
  • [8] A stochastic SIRS epidemic model with nonlinear incidence rate
    Cai, Yongli
    Kang, Yun
    Wang, Weiming
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 305 : 221 - 240
  • [9] Global insights into a stochastic SIRS epidemic model with Beddington-DeAngelis incidence rate
    Tang, Ruoshi
    Wang, Hao
    Qiu, Zhipeng
    Feng, Tao
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2024,
  • [10] Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate
    N'zi, Modeste
    Kanga, Gerard
    [J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2016, 24 (01) : 65 - 77
12345