Rough infection fronts in a random medium

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,...

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Veröffentlicht in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2019-06, Vol.92 (6), p.1-11, Article 126
Hauptverfasser: Kolton, Alejandro B., Laneri, Karina
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Sprache:eng
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Zusammenfassung: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
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2019-90582-3