Accurate closed-form solution of the SIR epidemic model

An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model...

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Detalles Bibliográficos
Autores principales: Barlow, Nathaniel S., Weinstein, Steven J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier B.V. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7195136/
https://www.ncbi.nlm.nih.gov/pubmed/32362697
http://dx.doi.org/10.1016/j.physd.2020.132540
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author Barlow, Nathaniel S.
Weinstein, Steven J.
author_facet Barlow, Nathaniel S.
Weinstein, Steven J.
author_sort Barlow, Nathaniel S.
collection PubMed
description An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
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spelling pubmed-71951362020-05-02 Accurate closed-form solution of the SIR epidemic model Barlow, Nathaniel S. Weinstein, Steven J. Physica D Article An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic. Elsevier B.V. 2020-07 2020-04-29 /pmc/articles/PMC7195136/ /pubmed/32362697 http://dx.doi.org/10.1016/j.physd.2020.132540 Text en © 2020 Elsevier B.V. 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
Barlow, Nathaniel S.
Weinstein, Steven J.
Accurate closed-form solution of the SIR epidemic model
title Accurate closed-form solution of the SIR epidemic model
title_full Accurate closed-form solution of the SIR epidemic model
title_fullStr Accurate closed-form solution of the SIR epidemic model
title_full_unstemmed Accurate closed-form solution of the SIR epidemic model
title_short Accurate closed-form solution of the SIR epidemic model
title_sort accurate closed-form solution of the sir epidemic model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7195136/
https://www.ncbi.nlm.nih.gov/pubmed/32362697
http://dx.doi.org/10.1016/j.physd.2020.132540
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