Vol. 9, No. 3, 2021

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Inhomogeneities in Boltzmann–SIR models

Alessandro Ciallella, Mario Pulvirenti and Sergio Simonella

Vol. 9 (2021), No. 3, 273–292
Abstract

We investigate, by means of numerical simulations, the qualitative properties of a Boltzmann equation for three species of particles introduced in previous work, capturing some features of epidemic spread.

Keywords
Boltzmann equation, SIR model, stochastic particle system, local epidemic spread, DSMC simulation
Mathematical Subject Classification
Primary: 00A71, 70-10
Milestones
Received: 10 February 2021
Revised: 9 April 2021
Accepted: 25 May 2021
Published: 8 February 2022

Communicated by Raffaele Esposito
Authors
Alessandro Ciallella
Dipartimento di Ingegneria Civile, Edile–Architettura e Ambientale
Università dell’Aquila
L’Aquila
Italy
International Research Center for Mathematics & Mechanics of Complex Systems
Università dell’Aquila
L’Aquila
Italy
Mario Pulvirenti
Dipartimento di Matematica
Università di Roma “La Sapienza”
Rome
Italy
International Research Center for Mathematics & Mechanics of Complex Systems
Università dell’Aquila
L’Aquila
Italy
Sergio Simonella
UMPA UMR 5669 CNRS
ENS de Lyon
Lyon
France