A kinetic model for epidemic spread

Published 20 May 2020 in cond-mat.stat-mech, math.AP, and math.PR | (2005.09967v1)

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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