About: An Infinite-Dimensional SIS Model

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

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	An Infinite-Dimensional SIS Model
Creator	Delmas, Jean-François Dronnier, Dylan Zitt, Pierre-André
source	ArXiv
abstract	In this article, we introduce an infinite-dimensional deterministic SIS model which takes into account the heterogeneity of the infections and the social network among a large population. We study the long-time behavior of the dynamic. We identify the basic reproduction number $R_0$ which determines whether there exists a stable endemic steady state (super-critical case: $R_0>1$) or if the only equilibrium is disease-free (critical and sub-critical case: $R_0/leq1$). As an application of this general study, we prove that the so-called ``leaky'' and ``all-or-nothing'' vaccination mechanism have the same effect on $R_0$. This framework is also very natural and intuitive to model lockdown policies and study their impact.
has issue date	2020-06-15(xsd:dateTime)
has license	arxiv
sha1sum (hex)	a206219788b7a8de83f14aa207fceec3c273222a
resource representing a document's title	An Infinite-Dimensional SIS Model
resource representing a document's body	covid:a206219788b7a8de83f14aa207fceec3c273222a#body_text
is schema:about of	named entity 'social network' named entity 'vaccination' named entity 'non-negative' named entity 'endemic steady state' named entity 'measurable space' »more»

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