Threshold dynamics of a stochastic SIQR epidemic model with imperfect quarantine

被引：7
|
作者：
Yang, Jingen [1 ]
Shi, Xiangyun [2 ]
Song, Xinyu [1 ,2 ]
Zhao, Zhong [1 ]
机构：
[1] Huanghuai Univ, Coll Math & Stat, Zhumadian 463000, Peoples R China
[2] Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 136卷
基金：
中国国家自然科学基金;
关键词：
SIQR model; Imperfect quarantine; Parameter estimation; Environmental perturbations; STANDARD INCIDENCE; IMPACT;
D O I：
10.1016/j.aml.2022.108459
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a stochastic SIQR epidemic model with imperfect quarantine. We perform a detailed mathematical analysis of the dynamics of the stochastic model. The basic reproduction number Rs0 turns out to be a sharp threshold, that is, if Rs0 < 1, then the disease-free equilibrium of the stochastic model is globally stable almost surely, whereas if Rs0 > 1, the Markov process is positive recurrence which indicates that the disease will prevail. We also adopt the data of weekly infected cases for northern China from the first week of 2014 to the 26th week of 2014, to fit the model and estimate the parameters.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：8
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