학술논문

Rough infection fronts in a random medium
Document Type
redif-article
Source
Springer;EDP Sciences, The European Physical Journal B: Condensed Matter and Complex Systems. 92(6):1-11
Subject
Language
English
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. Graphical abstract