About: Propagation of epidemics along lines with fast diffusion

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Propagation of epidemics along lines with fast diffusion
Creator	Rossi, Luca Berestycki, Henri Roquejoffre, Jean-Michel
source	ArXiv
abstract	It has long been known that epidemics can travel along communication lines, such as roads. In the current COVID-19 epidemic, it has been observed that major roads have enhanced its propagation in Italy. We propose a new simple model of propagation of epidemics which exhibits this effect and allows for a quantitative analysis. The model consists of a classical $SIR$ model with diffusion, to which an additional compartment is added, formed by the infected individuals travelling on a line of fast diffusion. Exchanges between individuals on the line and in the rest of the domain are taken into account. A classical transformation allows us to reduce the proposed model to a system analogous to one we had previously introduced [5] to describe the enhancement of biological invasions by lines of fast diffusion. We establish the existence of a minimal spreading speed and we show that it may be quite large, even when the basic reproduction number $R_0$ is close to $1$. More subtle qualitative features of the final state, showing the important influence of the line, are also proved here.
has issue date	2020-05-04(xsd:dateTime)
has license	arxiv
sha1sum (hex)	b3bb7ed414462d44175e1fc88c2bc4f41c002766
resource representing a document's title	Propagation of epidemics along lines with fast diffusion
resource representing a document's body	covid:b3bb7ed414462d44175e1fc88c2bc4f41c002766#body_text
is schema:about of	named entity 'A LINE' named entity 'ALLOWS' named entity 'ESTABLISH' named entity 'MINIMAL' named entity 'DIFFUSION' »more»

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