A Kinetic Model For Epidemic Spread

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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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Pulvirenti, M., & Simonella, S. (2020). A Kinetic Model For Epidemic Spread. Mathematics and Mechanics of Complex Systems, 8(3), 249–260. https://doi.org/10.2140/memocs.2020.8.249

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