A kinetic model for epidemic spread

M Pulvirenti (1) , S Simonella (2, 3)

1 Sapienza University of Rome - Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
2 CNRS - Centre National de la Recherche Scientifique
3 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

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.

Mots clés: Boltzmann equation; SIR model; low-density limit; stochastic particle system; forward cluster

Domaines: Physique mathématique [math-ph]

M Pulvirenti, S Simonella. A kinetic model for epidemic spread. Mathematics and Mechanics of Complex Systems, 2020, 8 (3). ⟨hal-02614994⟩