Rough infection fronts in a random medium
arXiv:1810.01211 · doi:10.1140/epjb/e2019-90582-3
Abstract
We study extended infection fronts advancing over a spatially uniform susceptible population by solving numerically a diffusive Kermack McKendrick SIR model with a dichotomous spatially random transmission rate, in two dimensions. We find a non-trivial dynamic critical behavior in the mean velocity, in the shape, and in the rough geometry of the displacement field of the infective front as the disorder approaches a threshold value for spatial spreading of the infection.
11 pages, 11 figures, 2 appendix