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arXiv · 1810.01211

Rough infection fronts in a random medium

A. B. Kolton·K. Laneri
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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.

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A. B. Kolton, K. Laneri. 2018-10-02. Rough infection fronts in a random medium. https://doi.org/10.1140/epjb/e2019-90582-3

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