Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic

We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on a single contiguous time interval, and we characte...

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Detalles Bibliográficos
Autores principales: Feng, Yuanyuan, Iyer, Gautam, Li, Lei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8185504/
https://www.ncbi.nlm.nih.gov/pubmed/34101040
http://dx.doi.org/10.1007/s00285-021-01615-0
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author Feng, Yuanyuan
Iyer, Gautam
Li, Lei
author_facet Feng, Yuanyuan
Iyer, Gautam
Li, Lei
author_sort Feng, Yuanyuan
collection PubMed
description We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on a single contiguous time interval, and we characterize this interval via an integral condition. We conclude with a few numerical simulations showing the actual reduction obtained.
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spelling pubmed-81855042021-06-08 Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic Feng, Yuanyuan Iyer, Gautam Li, Lei J Math Biol Article We consider a susceptible, infected, removed (SIR) system where the transmission rate may be temporarily reduced for a fixed amount of time. We show that in order to minimize the total number of fatalities, the transmission rate should be reduced on a single contiguous time interval, and we characterize this interval via an integral condition. We conclude with a few numerical simulations showing the actual reduction obtained. Springer Berlin Heidelberg 2021-06-08 2021 /pmc/articles/PMC8185504/ /pubmed/34101040 http://dx.doi.org/10.1007/s00285-021-01615-0 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Feng, Yuanyuan
Iyer, Gautam
Li, Lei
Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title_full Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title_fullStr Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title_full_unstemmed Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title_short Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
title_sort scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8185504/
https://www.ncbi.nlm.nih.gov/pubmed/34101040
http://dx.doi.org/10.1007/s00285-021-01615-0
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