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Article Dans Une Revue Rendiconti Lincei. Matematica e Applicazioni Année : 2021

Kinetic SIR equations and particle limits

Résumé

We present and analyze two simple N-particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergence result, as N → ∞, to a set of kinetic equations, providing a mathematical justification of related numerical schemes. We analyze rigorously the time asymptotics of these equations, and compare the models numerically.
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Dates et versions

hal-03432684 , version 1 (17-11-2021)

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  • HAL Id : hal-03432684 , version 1

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A Ciallella, M Pulvirenti, Sergio Simonella. Kinetic SIR equations and particle limits. Rendiconti Lincei. Matematica e Applicazioni, 2021, 32 (2), pp.295-315. ⟨hal-03432684⟩
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