Analytic solution of the SEIR epidemic model via asymptotic approximant

An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in [Formula: see text] and analytically continuing its divergent power series solution such that it matches the correct long-time exponential dam...

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Autores principales: Weinstein, Steven J., Holland, Morgan S., Rogers, Kelly E., Barlow, Nathaniel S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Published by Elsevier B.V. 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7316071/
https://www.ncbi.nlm.nih.gov/pubmed/32834248
http://dx.doi.org/10.1016/j.physd.2020.132633
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author Weinstein, Steven J.
Holland, Morgan S.
Rogers, Kelly E.
Barlow, Nathaniel S.
author_facet Weinstein, Steven J.
Holland, Morgan S.
Rogers, Kelly E.
Barlow, Nathaniel S.
author_sort Weinstein, Steven J.
collection PubMed
description An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in [Formula: see text] and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form of a modified symmetric Padé approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.
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spelling pubmed-73160712020-06-25 Analytic solution of the SEIR epidemic model via asymptotic approximant Weinstein, Steven J. Holland, Morgan S. Rogers, Kelly E. Barlow, Nathaniel S. Physica D Article An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in [Formula: see text] and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form of a modified symmetric Padé approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic. Published by Elsevier B.V. 2020-10 2020-06-25 /pmc/articles/PMC7316071/ /pubmed/32834248 http://dx.doi.org/10.1016/j.physd.2020.132633 Text en © 2020 Published by Elsevier B.V. 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
Weinstein, Steven J.
Holland, Morgan S.
Rogers, Kelly E.
Barlow, Nathaniel S.
Analytic solution of the SEIR epidemic model via asymptotic approximant
title Analytic solution of the SEIR epidemic model via asymptotic approximant
title_full Analytic solution of the SEIR epidemic model via asymptotic approximant
title_fullStr Analytic solution of the SEIR epidemic model via asymptotic approximant
title_full_unstemmed Analytic solution of the SEIR epidemic model via asymptotic approximant
title_short Analytic solution of the SEIR epidemic model via asymptotic approximant
title_sort analytic solution of the seir epidemic model via asymptotic approximant
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7316071/
https://www.ncbi.nlm.nih.gov/pubmed/32834248
http://dx.doi.org/10.1016/j.physd.2020.132633
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