A kinetic model for epidemic spread

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 mixi...

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Veröffentlicht in:Mathematics and mechanics of complex systems 2020-01, Vol.8 (3), p.249-260
Hauptverfasser: Pulvirenti, Mario, Simonella, Sergio
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2326-7186
2325-3444
DOI:10.2140/memocs.2020.8.249