An age and space structured SIR model describing the Covid-19 pandemic

Abstract We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical...

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Bibliographic Details
Main Authors: Rinaldo M. Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13362-020-00090-4
Description
Summary:Abstract We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical integrations are used to illustrate the adherence of the evolutions described by the model to specific well known real features of the present pandemic. In particular, this model is consistent with the well known relevance of quarantine, shows the dramatic role of care houses and accounts for the increase in the death toll when spatial movements are not constrained.
ISSN:2190-5983