Supercritical Spatial SIR Epidemics: Spreading Speed and Herd Immunity

Xinghua Zheng, Qingsan Zhu

We study supercritical spatial SIR epidemics on ${\mathbb{Z}}^2\times \{1,2,\dots ,N\}$, where each site in ${\mathbb{Z}}^2$ represents a village and $N$ stands for the village size.…