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A kinetic model for
epidemic spread
Mario Pulvirenti and Sergio Simonella
Vol. 8 (2020), No. 3, 249–260
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Abstract |
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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. |
Keywords
Boltzmann equation, SIR model, low-density limit,
stochastic particle system, forward cluster
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Mathematical Subject Classification
Primary: 00A71
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Milestones
Received: 16 May 2020
Accepted: 26 June 2020
Published: 2 September 2020
Communicated by Raffaele Esposito
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Authors |
| Mario Pulvirenti | |
| Dipartimento di Matematica Università di Roma La Sapienza Rome Italy |
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| Sergio Simonella | |
| Unité de Mathématiques Pures et
Appliquées CNRS UMR 5669 École Normale Supérieure de Lyon Lyon France |
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