Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence

被引：48
|
作者：
Rajasekar, S. P. [1 ,2 ]
Pitchaimani, M. [1 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
[2] Govt Arts Coll Women, Dept Math, Nilakottai 624202, Tamil Nadu, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 377卷
关键词：
Extinction; Logistic growth; Stationary distribution and ergodicity; Nonlinear incidence; Stochastic SIRS model; DIFFERENTIAL EQUATIONS; DYNAMICAL BEHAVIOR; STABILITY ANALYSIS;
D O I：
10.1016/j.amc.2020.125143
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic SIRS model with logistic growth and nonlinear incidence rate is probed in this paper. We exemplify that the proposed stochastic SIRS model reveals a global and positive solution. By applying suitable Lyapunov functions, the sufficient conditions for the existence of ergodic stationary distribution of the solution to the stochastic SIRS model are derived. Furthermore, we acquire the sufficient conditions for extinction of the infectious disease. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: Stationary distribution and extinction
    Zhao, Xin
    He, Xin
    Feng, Tao
    Qiu, Zhipeng
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2020, 13 (03)
  • [2] Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 469 : 510 - 517
  • [3] Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
    Lahrouz, Aadil
    Omani, Lahcen
    [J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (04) : 960 - 968
  • [4] A stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    Ahmad, Bashir
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 551
  • [5] Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity
    Zhang, Xiao-Bing
    Wang, Xiao-Dong
    Huo, Hai-Feng
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 531
  • [6] STATIONARY DISTRIBUTION OF STOCHASTIC SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE
    Zhao, Yanan
    Lin, Yuguo
    Jiang, Daqing
    Mao, Xuerong
    Li, Yong
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2016, 21 (07): : 2363 - 2378
  • [7] Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
    Kangbo Bao
    Qimin Zhang
    [J]. Advances in Difference Equations, 2017
  • [8] Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
    Bao, Kangbo
    Zhang, Qimin
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017, 2017
  • [9] Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate
    Zhang, Yan
    Fan, Kuangang
    Gao, Shujing
    Liu, Yingfen
    Chen, Shihua
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 514 : 671 - 685
  • [10] Threshold Analysis of a Stochastic SIRS Epidemic Model with Logistic Birth and Nonlinear Incidence
    Wang, Huyi
    Zhang, Ge
    Chen, Tao
    Li, Zhiming
    [J]. MATHEMATICS, 2023, 11 (07)
12345