# Conditional propagation of chaos in a spatial stochastic epidemic model with common noise

@article{Vuong2022ConditionalPO,
title={Conditional propagation of chaos in a spatial stochastic epidemic model with common noise},
author={Yen V. Vuong and Maxime Hauray and {\'E}tienne Pardoux},
journal={Stochastics and Partial Differential Equations: Analysis and Computations},
year={2022},
volume={10},
pages={1180-1210}
}
• Published 4 November 2021
• Mathematics
• Stochastics and Partial Differential Equations: Analysis and Computations
We study a stochastic spatial epidemic model where the N individuals carry two features: a position and an infection state, interact and move in $${\mathbb {R}}^d$$ R d . In this Markovian model, the evolution of infection states are described with the help of the Poisson Point Processes , whereas the displacement of individuals are driven by mean field interactions, a (state dependence) diffusion and also a common noise, so that the spatial dynamic is a random process. We prove that when the…
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