Dynamical behaviors of a stochastic \textit{SIQR} epidemic model with quarantine-adjusted incidence
type: Item
instance of: scholarly article
title: Dynamical behaviors of a stochastic \textit{SIQR} epidemic model with quarantine-adjusted incidence
zbMATH Open document ID: 1417.92171
DOI: 10.1155/2018/3693428
author: Zhongwei Cao
author: Shengjuan Zhou
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: We study the dynamics of a stochastic \textit{SIQR} epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic \textit{SIQR} epidemic model. From the results, we find that when the white noise is relatively large, the infectious diseases will become extinct; this also shows that the intervention of white noise will play an important part in controlling the spread of the disease.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 7026563
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3693428
OpenAlex ID: W2792199739
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description: scientific article; zbMATH DE number 7026563