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
  • [1] Dynamics of a stochastic SIQR epidemic model with standard incidence
    Cao, Zhongwei
    Feng, Wei
    Wen, Xiangdan
    Zu, Li
    Cheng, Ming
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [2] Dynamics of a multigroup stochastic SIQR epidemic model
    Lamei, Sanaz
    Akbari, Mozhgan
    MONTE CARLO METHODS AND APPLICATIONS, 2024, 30 (03): : 269 - 280
  • [3] Dynamics of a multigroup SIS epidemic model with standard incidence rates and Markovian switching
    Liu, Qun
    Jiang, Daqing
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [4] Dynamics of a Stochastic SIQR Epidemic Model with Saturated Incidence Rate
    Wang, Li-li
    Huang, Nan-jing
    O'Regan, Donal
    FILOMAT, 2018, 32 (15) : 5239 - 5253
  • [5] Dynamics study of a stochastic SIQR epidemic model with vaccination and saturated incidence
    Li, Hengqian
    Guo, Xiurong
    IFAC PAPERSONLINE, 2022, 55 (03): : 79 - 84
  • [6] Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching
    Liu, Qun
    Jiang, Daqing
    Shi, Ningzhong
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 316 : 310 - 325
  • [7] Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation
    Lin, Yuguo
    Jiang, Daqing
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [8] Dynamics of a stochastic multigroup SEI epidemic model
    Liu, Qun
    Jiang, Daqing
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2022, 40 (04) : 623 - 656
  • [9] Dynamics of a Stochastic Multigroup SEIR Epidemic Model
    Zhong, Xiaojing
    Deng, Feiqi
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [10] DYNAMICAL BEHAVIOR OF A MULTIGROUP SIRS EPIDEMIC MODEL WITH STANDARD INCIDENCE RATES AND MARKOVIAN SWITCHING
    Liu, Qun
    Jiang, Daqing
    Hayat, Tasawar
    Alsaedi, Ahmed
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 5683 - 5706
12345