Rough infection fronts in a random medium
Disordered Systems and Neural Networks
2019-06-11 v1
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.
Cite
@article{arxiv.1810.01211,
title = {Rough infection fronts in a random medium},
author = {A. B. Kolton and K. Laneri},
journal= {arXiv preprint arXiv:1810.01211},
year = {2019}
}
Comments
11 pages, 11 figures, 2 appendix