Linear behavior in Covid19 epidemic as an effect of lockdown

Abstract We propose a mechanism explaining the approximately linear growth of Covid19 world total cases as well as the slow linear decrease of the daily new cases (and daily deaths) observed (in average) in USA and Italy. In our explanation, we regard a given population (the whole world or a single...

Full description

Bibliographic Details
Main Authors: Dario Bambusi, Antonio Ponno
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Journal of Mathematics in Industry
Subjects:
Online Access:https://doi.org/10.1186/s13362-020-00095-z
Description
Summary:Abstract We propose a mechanism explaining the approximately linear growth of Covid19 world total cases as well as the slow linear decrease of the daily new cases (and daily deaths) observed (in average) in USA and Italy. In our explanation, we regard a given population (the whole world or a single nation) as composed by many sub-clusters which, after lockdown, evolve essentially independently. The interaction is modeled by the fact that the outbreak time of the epidemic in a sub-cluster is a random variable with probability density slowly varying in time. The explanation is independent of the law according to which the epidemic evolves in the single sub cluster.
ISSN:2190-5983