Rough infection fronts in a random medium

Alejandro B. Kolton and Karina Laneri ()
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Alejandro B. Kolton: Consejo Nacional de Investigaciones Científicas y Técnicas
Karina Laneri: Consejo Nacional de Investigaciones Científicas y Técnicas

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 6, 1-11

Abstract: 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

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1140/epjb/e2019-90582-3

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