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arXiv · 2102.07592

Kinetic SIR equations and particle limits

Alessandro Ciallella·Mario Pulvirenti·Sergio Simonella
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Abstract

We present and analyze two simple $N$-particle particle systems for the spread of an infection, respectively with binary and with multi-body interactions. We establish a convergence result, as $N \to \infty$, 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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Alessandro Ciallella, Mario Pulvirenti, Sergio Simonella. 2021-02-15. Kinetic SIR equations and particle limits. https://doi.org/10.4171/rlm%2F937

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