We consider a simple stochastic N-particle system, already studied by the same authors in Ciallella et al. (2021b), representing different populations of agents. Each agent has a label describing his state of health. We show rigorously that, in the limit N → ∞ propagation of chaos holds, leading to a set of kinetic equations which are a spatially inhomogeneous version of the classical SIR model. We improve a similar result obtained in Ciallella et al (2021b) by using here a different coupling technique, which makes the analysis simpler, more natural and transparent.
Propagation of Chaos for a Stochastic Particle System Modelling Epidemics
Ciallella Alessandro
;
2022-01-01
Abstract
We consider a simple stochastic N-particle system, already studied by the same authors in Ciallella et al. (2021b), representing different populations of agents. Each agent has a label describing his state of health. We show rigorously that, in the limit N → ∞ propagation of chaos holds, leading to a set of kinetic equations which are a spatially inhomogeneous version of the classical SIR model. We improve a similar result obtained in Ciallella et al (2021b) by using here a different coupling technique, which makes the analysis simpler, more natural and transparent.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
