Rough Infection Fronts in Random Media

A. B. Kolton, K. Laneri

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.

arxiv, EPJB, highlight

Heterogenous Transmission Spatial SIR model applet [mousse drag->infect, keypress->pause]

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