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Rough infection fronts in a random medium

Author

Listed:
  • Alejandro B. Kolton

    (Consejo Nacional de Investigaciones Científicas y Técnicas
    Centro Atómico Bariloche (CNEA)
    Instituto Balseiro, Universidad Nacional de Cuyo)

  • Karina Laneri

    (Consejo Nacional de Investigaciones Científicas y Técnicas
    Centro Atómico Bariloche (CNEA))

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

Suggested Citation

  • Alejandro B. Kolton & Karina Laneri, 2019. "Rough infection fronts in a random medium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(6), pages 1-11, June.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:6:d:10.1140_epjb_e2019-90582-3
    DOI: 10.1140/epjb/e2019-90582-3
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    References listed on IDEAS

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    1. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
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    Keywords

    Statistical and Nonlinear Physics;

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