Journal
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS
Volume 8, Issue 3, Pages 249-260Publisher
MATHEMATICAL SCIENCE PUBL
DOI: 10.2140/memocs.2020.8.249
Keywords
Boltzmann equation; SIR model; low-density limit; stochastic particle system; forward cluster
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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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