Dynamic analysis of a stochastic SEQIR model and application in the COVID-19 pandemic
type: Item
instance of: scholarly article
title: Dynamic analysis of a stochastic SEQIR model and application in the COVID-19 pandemic
zbMATH Open document ID: 1486.92251
DOI: 10.1155/2021/6125064
author: Shijie Liu
author: Maoxing Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2022-01-07T00:00:00Z
review text: Summary: In this study, a deterministic SEQIR model with standard incidence and the corresponding stochastic epidemic model are explored. In the deterministic model, the reproduction number is given, and the local asymptotic stability of the equilibria is proved. When the reproduction number is less than unity, the disease-free equilibrium is locally asymptotically stable, whereas the endemic equilibrium is locally asymptotically stable in the case of a reproduction number greater than unity. A stochastic expansion based on a deterministic model is studied to explore the uncertainty of the spread of infectious diseases. Using the Lyapunov function method, the existence and uniqueness of a global positive solution are considered. Then, the extinction conditions of the epidemic and its asymptotic property around the endemic equilibrium are obtained. To demonstrate the application of this model, a case study based on COVID-19 epidemic data from France, Italy, and the UK is presented, together with numerical simulations using given parameters.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 7453846
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6125064
OpenAlex ID: W4200023540
cites work: Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
cites work: Dynamics of a stochastic SIQR epidemic model with standard incidence
cites work: Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan
cites work: Mathematical perspective of Covid-19 pandemic: disease extinction criteria in deterministic and stochastic models
cites work: Forecasting the daily and cumulative number of cases for the COVID-19 pandemic in India
cites work: Estimating the COVID-19 infection rate: anatomy of an inference problem
cites work: Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model
cites work: Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching
cites work: Solutions of a disease model with fractional white noise
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Q4369402
description: scientific article; zbMATH DE number 7453846