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
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