https://doi.org/10.1140/epjb/e2019-90582-3
Regular Article
Rough infection fronts in a random medium★
1
Consejo Nacional de Investigaciones Científicas y Técnicas,
Buenos Aires, Argentina
2
Centro Atómico Bariloche (CNEA),
R8402AGP
Bariloche, Argentina
3
Instituto Balseiro, Universidad Nacional de Cuyo,
Río Negro, Argentina
a e-mail: karinalaneri@gmail.com
Received:
2
October
2018
Received in final form:
6
May
2019
Published online: 10 June 2019
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.
Key words: Statistical and Nonlinear Physics
Supplementary material in the form of one mpeg file available from the Journal web page at https://doi.org/10.1140/epjb/e2019-90582-3
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
