Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates

被引：2
|
作者：
Cao, Zhongwei [1 ]
Shi, Yuee [2 ]
Wen, Xiangdan [3 ]
Su, Huishuang [4 ]
Li, Xue [5 ]
机构：
[1] Jilin Univ Finance & Econ, Dept Appl Math, Changchun 130017, Jilin, Peoples R China
[2] First Hosp Jilin Univ, Dept Obstet & Gynecol, Changchun 130031, Jilin, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133002, Jilin, Peoples R China
[4] Jilin Univ Finance & Econ, YATAI Sch Business Management, Changchun 130017, Jilin, Peoples R China
[5] Jilin Univ Finance & Econ, Sch Stat, Changchun 130017, Jilin, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 554卷
关键词：
Two-group SIRS epidemic model; Stationary distribution; Extinction; Standard incidence rates; ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; PERSISTENCE; AIDS;
D O I：
10.1016/j.physa.2020.124628
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with a two-group stochastic SIRS epidemic model with standard incidence rates. On one hand, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. On the other hand, we show the sufficient conditions for the diseases to be extinct. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数：17
相关论文
共 50 条
  • [41] Bifurcation analysis of a discrete SIRS epidemic model with standard incidence rate
    Hu, Zengyun
    Chang, Linlin
    Teng, Zhidong
    Chen, Xi
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [42] A stochastic SIRS epidemic model with a general awareness-induced incidence
    Berrhazi, Badreddine
    El Fatini, Mohamed
    Lahrouz, Aadil
    Settati, Adel
    Taki, Regragui
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 512 : 968 - 980
  • [43] Dynamics analysis of stochastic epidemic models with standard incidence
    Zhao, Wencai
    Liu, Jinlei
    Chi, Mengnan
    Bian, Feifei
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [44] LONG-TERM ANALYSIS OF A STOCHASTIC SIRS MODEL WITH GENERAL INCIDENCE RATES
    Dang Hai Nguyen
    Yin, George
    Zhu, Chao
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2020, 80 (02) : 814 - 838
  • [45] Stochastic two-strain epidemic model with bilinear and non-monotonic incidence rates
    Sadki, Marya
    Allali, Karam
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (10)
  • [46] Dynamics of a stochastic susceptible-infectivere-covered (SIRS) epidemic model with vaccination and nonlinear incidence under regime switching and Levy jumps
    Hu, Junna
    Wen, Buyu
    Zeng, Ting
    Teng, Zhidong
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (3-4) : 391 - 407
  • [47] A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate
    Settati, A.
    Lahrouz, A.
    Zahri, M.
    Tridane, A.
    El Fatini, M.
    El Mahjour, H.
    Seaid, M.
    CHAOS SOLITONS & FRACTALS, 2021, 144
  • [48] Stationary distribution and extinction of a stochastic SEIR epidemic model with standard incidence
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Ahmad, Bashir
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 476 : 58 - 69
  • [49] Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity
    Tao Chen
    Zhiming Li
    Boundary Value Problems, 2022
  • [50] Dynamic behavior of a stochastic SIRS model with two viruses
    Zhao, Jiandong
    Zhang, Tonghua
    Han, Zhixia
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2021, 22 (7-8) : 809 - 825
12345