The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters

We consider a two-patches SIR model where communication occurs through commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number and show how the proportions of permanently resident populations impact it....

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Detalles Bibliográficos
Autores principales: Rapaport, Alain, Mimouni, Ismail
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734942/
https://www.ncbi.nlm.nih.gov/pubmed/36463533
http://dx.doi.org/10.1007/s11538-022-01111-6
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author Rapaport, Alain
Mimouni, Ismail
author_facet Rapaport, Alain
Mimouni, Ismail
author_sort Rapaport, Alain
collection PubMed
description We consider a two-patches SIR model where communication occurs through commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number and show how the proportions of permanently resident populations impact it. We exhibit nonintuitive situations for which allowing commuting from a safe territory to another one where the transmission rate is higher can reduce the overall epidemic threshold and avoid an outbreak.
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spelling pubmed-97349422022-12-12 The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters Rapaport, Alain Mimouni, Ismail Bull Math Biol Original Article We consider a two-patches SIR model where communication occurs through commuters, distinguishing explicitly permanently resident populations from commuters populations. We give an explicit formula of the reproduction number and show how the proportions of permanently resident populations impact it. We exhibit nonintuitive situations for which allowing commuting from a safe territory to another one where the transmission rate is higher can reduce the overall epidemic threshold and avoid an outbreak. Springer US 2022-12-04 2023 /pmc/articles/PMC9734942/ /pubmed/36463533 http://dx.doi.org/10.1007/s11538-022-01111-6 Text en © The Author(s), under exclusive licence to Society for Mathematical Biology 2022, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.corrected publication 2023 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 Original Article
Rapaport, Alain
Mimouni, Ismail
The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title_full The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title_fullStr The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title_full_unstemmed The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title_short The Role of Permanently Resident Populations in the Two-Patches SIR Model with Commuters
title_sort role of permanently resident populations in the two-patches sir model with commuters
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734942/
https://www.ncbi.nlm.nih.gov/pubmed/36463533
http://dx.doi.org/10.1007/s11538-022-01111-6
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