A kinetic model for epidemic spread

2020/05/20 by Pulvirenti, Mario, Simonella, Sergio
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2005.09967

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.

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