Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates

被引:45
|
作者
Liu, Qun [1 ]
Jiang, Daqing [1 ,2 ,3 ]
Hayat, Tasawar [2 ,4 ]
Alsaedi, Ahmed [2 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China
[2] King Abdulaziz Univ, NAAM Res Grp, Jeddah, Saudi Arabia
[3] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China
[4] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 05期
关键词
ENDEMIC EQUILIBRIUM; GLOBAL STABILITY; POPULATION; VACCINATION; THRESHOLD; PERSISTENCE; VIRUS;
D O I
10.1016/j.jfranklin.2019.01.038
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider a stochastic multigroup SIQR epidemic model with standard incidence rates. By using the stochastic Lyapunov function method, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. A stationary distribution means that all the individuals can be coexistent and persistent in the long term. Finally, some examples and numerical simulations are introduced to illustrate our theoretical results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:2960 / 2993
页数:34
相关论文
共 50 条
  • [41] Stationary distribution and extinction of a stochastic SIRS epidemic model with standard incidence
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    Hayat, Tasawar
    Alsaedi, Ahmed
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 469 : 510 - 517
  • [42] The Dynamics of the Pulse Birth in an SIR Epidemic Model with Standard Incidence
    Zhang, Juping
    Jin, Zhen
    Xue, Yakui
    Li, Youwen
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
  • [43] 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
  • [44] Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate
    Wang, Xinghao
    Zhang, Liang
    Zhang, Xiao-Bing
    SYMMETRY-BASEL, 2024, 16 (04):
  • [45] The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
    Li, Dan
    Cui, Jing'an
    Liu, Meng
    Liu, Shengqiang
    BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (09) : 1705 - 1743
  • [46] The Evolutionary Dynamics of Stochastic Epidemic Model with Nonlinear Incidence Rate
    Dan Li
    Jing’an Cui
    Meng Liu
    Shengqiang Liu
    Bulletin of Mathematical Biology, 2015, 77 : 1705 - 1743
  • [47] Dynamics of a Stochastic Epidemic Model with Vaccination and General Incidence Rate
    Toan, Nguyen Duc
    Dieu, Nguyen Thanh
    Du, Nguyen Huu
    Dung, Le Ba
    VIETNAM JOURNAL OF MATHEMATICS, 2024,
  • [48] PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE
    Ding, Yanlin
    Ren, Xinzhi
    Jiang, Cuicui
    Zhang, Qianhong
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (06): : 2439 - 2458
  • [49] Threshold Dynamics of an SEIS Epidemic Model with Nonlinear Incidence Rates
    Naim, Mouhcine
    Lahmidi, Fouad
    Namir, Abdelwahed
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2024, 32 (02) : 505 - 518
  • [50] Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates
    Upadhyay, Ranjit Kumar
    Pal, Ashok Kumar
    Kumari, Sangeeta
    Roy, Parimita
    NONLINEAR DYNAMICS, 2019, 96 (04) : 2351 - 2368