Solvable delay model for epidemic spreading: the case of Covid-19 in Italy.

Abstract:

:We study a simple realistic model for describing the diffusion of an infectious disease on a population of individuals. The dynamics is governed by a single functional delay differential equation, which, in the case of a large population, can be solved exactly, even in the presence of a time-dependent infection rate. This delay model has a higher degree of accuracy than that of the so-called SIR model, commonly used in epidemiology, which, instead, is formulated in terms of ordinary differential equations. We apply this model to describe the outbreak of the new infectious disease, Covid-19, in Italy, taking into account the containment measures implemented by the government in order to mitigate the spreading of the virus and the social costs for the population.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Dell'Anna L

doi

10.1038/s41598-020-72529-y

subject

Has Abstract

pub_date

2020-09-25 00:00:00

pages

15763

issue

1

issn

2045-2322

pii

10.1038/s41598-020-72529-y

journal_volume

10

pub_type

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