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.

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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