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Mathematical analysis of a stochastic model for spread of Coronavirus

This paper is associated to investigate a stochastic SEIAQHR model for transmission of Coronavirus disease 2019 that is a recent great crisis in numerous societies. This stochastic pandemic model is established due to several safety protocols, for instance social-distancing, mask and quarantine. Thr...

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Detalles Bibliográficos
Autores principales: Babaei, A., Jafari, H., Banihashemi, S., Ahmadi, M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier Ltd. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7894125/
https://www.ncbi.nlm.nih.gov/pubmed/33642704
http://dx.doi.org/10.1016/j.chaos.2021.110788
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author Babaei, A.
Jafari, H.
Banihashemi, S.
Ahmadi, M.
author_facet Babaei, A.
Jafari, H.
Banihashemi, S.
Ahmadi, M.
author_sort Babaei, A.
collection PubMed
description This paper is associated to investigate a stochastic SEIAQHR model for transmission of Coronavirus disease 2019 that is a recent great crisis in numerous societies. This stochastic pandemic model is established due to several safety protocols, for instance social-distancing, mask and quarantine. Three white noises are added to three of the main parameters of the system to represent the impact of randomness in the environment on the considered model. Also, the unique solvability of the presented stochastic model is proved. Moreover, a collocation approach based on the Legendre polynomials is presented to obtain the numerical solution of this system. Finally, some simulations are provided to survey the obtained results of this pandemic model and to identify the theoretical findings.
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spelling pubmed-78941252021-02-22 Mathematical analysis of a stochastic model for spread of Coronavirus Babaei, A. Jafari, H. Banihashemi, S. Ahmadi, M. Chaos Solitons Fractals Article This paper is associated to investigate a stochastic SEIAQHR model for transmission of Coronavirus disease 2019 that is a recent great crisis in numerous societies. This stochastic pandemic model is established due to several safety protocols, for instance social-distancing, mask and quarantine. Three white noises are added to three of the main parameters of the system to represent the impact of randomness in the environment on the considered model. Also, the unique solvability of the presented stochastic model is proved. Moreover, a collocation approach based on the Legendre polynomials is presented to obtain the numerical solution of this system. Finally, some simulations are provided to survey the obtained results of this pandemic model and to identify the theoretical findings. Elsevier Ltd. 2021-04 2021-02-19 /pmc/articles/PMC7894125/ /pubmed/33642704 http://dx.doi.org/10.1016/j.chaos.2021.110788 Text en © 2021 Elsevier Ltd. All rights reserved. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Babaei, A.
Jafari, H.
Banihashemi, S.
Ahmadi, M.
Mathematical analysis of a stochastic model for spread of Coronavirus
title Mathematical analysis of a stochastic model for spread of Coronavirus
title_full Mathematical analysis of a stochastic model for spread of Coronavirus
title_fullStr Mathematical analysis of a stochastic model for spread of Coronavirus
title_full_unstemmed Mathematical analysis of a stochastic model for spread of Coronavirus
title_short Mathematical analysis of a stochastic model for spread of Coronavirus
title_sort mathematical analysis of a stochastic model for spread of coronavirus
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7894125/
https://www.ncbi.nlm.nih.gov/pubmed/33642704
http://dx.doi.org/10.1016/j.chaos.2021.110788
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