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.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)