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] Dynamics of a time-delayed two-strain epidemic model with general incidence rates
    Farah, El Mehdi
    Amine, Saida
    Allali, Karam
    CHAOS SOLITONS & FRACTALS, 2021, 153
  • [42] A stochastic SIQR epidemic model with L?vy jumps and three-time delays
    Zhang, Ge
    Li, Zhiming
    Din, Anwarud
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 431
  • [43] Dynamics and application of a generalized SIQR epidemic model with vaccination and treatment
    Wang, Kai
    Fan, Hongjie
    Zhu, Yanling
    APPLIED MATHEMATICAL MODELLING, 2023, 120 : 382 - 399
  • [44] Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates
    Chen, Hao
    Sun, Jitao
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4391 - 4400
  • [45] Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size
    Liu, Shitao
    Zhang, Liang
    Zhang, Xiao-Bing
    Li, Aibing
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 12 (01)
  • [46] Persistence and extinction of a stochastic SVI epidemic model with standard incidence and reaction-diffusion
    Su, Tan
    Kao, Yonggui
    Jiang, Daqing
    APPLIED MATHEMATICS LETTERS, 2025, 168
  • [47] Dynamics analysis of a delayed stochastic SIRS epidemic model with a nonlinear incidence rate
    Bao, Xuezhong
    Han, Xiaoling
    STOCHASTIC MODELS, 2024,
  • [48] Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity
    Chen, Tao
    Li, Zhiming
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01)
  • [49] Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates
    Chang, Zhengbo
    Meng, Xinzhu
    Lu, Xiao
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 472 : 103 - 116
  • [50] 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,
12345