Stability analysis of two new SIRS models with two viruses

被引：19
作者：
Zhao, Jiandong [1 ]
Wang, Lisha [1 ]
Han, Zhixia [1 ]
机构：
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2018年 / 95卷 / 10期
关键词：
Continuous SIRS model; discrete-time SIRS model; disease-free equilibrium; endemic equilibrium; stability; EPIDEMIC MODEL; BEHAVIOR; DYNAMICS;
D O I：
10.1080/00207160.2017.1364369
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose two new kinds of Susceptible, Infective, Removed and Susceptible (SIRS) models with two viruses: continuous SIRS model and discrete-time SIRS model. We obtain sufficient conditions for existence and local stability of the disease-free equilibria and the endemic equilibria in the two models. Moreover, we use numerical simulations to illustrate the validity of our results.
引用
收藏
页码：2026 / 2035
页数：10
相关论文
共 21 条
  • [1] [Anonymous], 1988, MATH ECOLOGY
  • [2] [Anonymous], 2012, Applications of centre manifold theory
  • [3] Guo H., 2006, Can. Appl. Math. Q, V14, P259
  • [4] Stochastic SIRS model under regime switching
    Han, Zhixia
    Zhao, Jiandong
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 352 - 364
  • [5] Stability analysis in a class of discrete SIRS epidemic models
    Hu, Zengyun
    Teng, Zhidong
    Jiang, Haijun
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (05) : 2017 - 2033
  • [6] Contribution to the mathematical theory of epidemics
    Kermack, WO
    McKendrick, AG
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1927, 115 (772) : 700 - 721
  • [7] Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease
    Koide, C
    Seno, H
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 1996, 23 (04) : 67 - 91
  • [8] DYNAMIC BEHAVIOR OF EPIDEMIOLOGIC MODELS WITH NONLINEAR INCIDENCE RATES
    LIU, WM
    HETHCOTE, HW
    LEVIN, SA
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1987, 25 (04) : 359 - 380
  • [9] Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
    Meng, Xinzhu
    Zhao, Shengnan
    Feng, Tao
    Zhang, Tonghua
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (01) : 227 - 242
  • [10] Permanence and global stability of a class of discrete epidemic models
    Muroya, Yoshiaki
    Nakata, Yukihiko
    Izzo, Giuseppe
    Vecchio, Antonia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2105 - 2117
123