We present a Boltzmann equation for mixtures of three species of particles reducing to the Kermack-McKendrick (SIR) equations for the time-evolution of the density of infected agents in an isolated population. The kinetic model is potentially more detailed and might provide information on space mixing of the agents.

A kinetic model for epidemic spread / Pulvirenti, Mario; Simonella, Sergio. - In: MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS. - ISSN 2326-7186. - (2020). [10.2140/memocs.2020.8.249]

A kinetic model for epidemic spread

Mario Pulvirenti;Sergio Simonella
2020

Abstract

We present a Boltzmann equation for mixtures of three species of particles reducing to the Kermack-McKendrick (SIR) equations for the time-evolution of the density of infected agents in an isolated population. The kinetic model is potentially more detailed and might provide information on space mixing of the agents.
2020
Boltzmann equation; SIR model; low-density limit; stochastic particle system; forward cluster
01 Pubblicazione su rivista::01a Articolo in rivista
A kinetic model for epidemic spread / Pulvirenti, Mario; Simonella, Sergio. - In: MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS. - ISSN 2326-7186. - (2020). [10.2140/memocs.2020.8.249]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1675503
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