Epidemic models with varying infectivity on a refining spatial grid. I. The SI model

Anicet Mougabe-Peurkor, Étienne Pardoux, Ténan Yeo

We consider a space-time SI epidemic model with infection age-dependent infectivity and non-local infections constructed on a grid of the torus ${\mathbb{T}}^1=(0,1{]}^d$, where the…