A viral load-based model for epidemic spread on spatial networks

In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The disease transmission is represented in terms of the viral load of...

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Autores principales:	Nadia Loy, Andrea Tosin
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	boltzmann-type equations markov-type jump processes label switching commuters quarantine Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/fe33b47190524aca9ef70be5e596729a
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id	oai:doaj.org-article:fe33b47190524aca9ef70be5e596729a
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spelling	oai:doaj.org-article:fe33b47190524aca9ef70be5e596729a2021-11-09T02:34:12ZA viral load-based model for epidemic spread on spatial networks10.3934/mbe.20212851551-0018https://doaj.org/article/fe33b47190524aca9ef70be5e596729a2021-06-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021285?viewType=HTMLhttps://doaj.org/toc/1551-0018In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The disease transmission is represented in terms of the viral load of the individuals and is mediated by social contacts among them, taking into account their displacements across the nodes of the network. We formally derive the hydrodynamic equations for the density and the mean viral load of the individuals on the network and we analyse the large-time trends of these quantities with special emphasis on the cases of blow-up or eradication of the infection. By means of numerical tests, we also investigate the impact of confinement measures, such as quarantine or localised lockdown, on the diffusion of the disease on the network.Nadia LoyAndrea TosinAIMS Pressarticleboltzmann-type equationsmarkov-type jump processeslabel switchingcommutersquarantineBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5635-5663 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	boltzmann-type equations markov-type jump processes label switching commuters quarantine Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	boltzmann-type equations markov-type jump processes label switching commuters quarantine Biotechnology TP248.13-248.65 Mathematics QA1-939 Nadia Loy Andrea Tosin A viral load-based model for epidemic spread on spatial networks
description	In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The disease transmission is represented in terms of the viral load of the individuals and is mediated by social contacts among them, taking into account their displacements across the nodes of the network. We formally derive the hydrodynamic equations for the density and the mean viral load of the individuals on the network and we analyse the large-time trends of these quantities with special emphasis on the cases of blow-up or eradication of the infection. By means of numerical tests, we also investigate the impact of confinement measures, such as quarantine or localised lockdown, on the diffusion of the disease on the network.
format	article
author	Nadia Loy Andrea Tosin
author_facet	Nadia Loy Andrea Tosin
author_sort	Nadia Loy
title	A viral load-based model for epidemic spread on spatial networks
title_short	A viral load-based model for epidemic spread on spatial networks
title_full	A viral load-based model for epidemic spread on spatial networks
title_fullStr	A viral load-based model for epidemic spread on spatial networks
title_full_unstemmed	A viral load-based model for epidemic spread on spatial networks
title_sort	viral load-based model for epidemic spread on spatial networks
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/fe33b47190524aca9ef70be5e596729a
work_keys_str_mv	AT nadialoy aviralloadbasedmodelforepidemicspreadonspatialnetworks AT andreatosin aviralloadbasedmodelforepidemicspreadonspatialnetworks AT nadialoy viralloadbasedmodelforepidemicspreadonspatialnetworks AT andreatosin viralloadbasedmodelforepidemicspreadonspatialnetworks
_version_	1718441443600629760

A viral load-based model for epidemic spread on spatial networks

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