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arXiv · 2511.12350

Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers

Armand Kanga·Etienne Pardoux
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Abstract

We consider a spatial SIR epidemic model where the infectivity of infected individuals depends upon their age of infection, and infections are non local. The domain is an unbounded subset of $\R^d$,and the individuals do not move. We extend our earlier result in \cite{AK-EP}, where the domain was bounded, and prove a law of large numbers as the size of the population tends to $\infty$.

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Armand Kanga, Etienne Pardoux. 2025-11-15. Spatial SIR epidemic model with varying infectivity in an unbounded domain: Law of Large Numbers. https://arxiv.org/abs/2511.12350

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