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arXiv · 0802.1028

Long-range epidemic spreading with immunization

Florian Linder·Johannes Tran-Gia·Silvio R. Dahmen·Haye Hinrichsen
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Abstract

We study the phase transition between survival and extinction in an epidemic process with long-range interactions and immunization. This model can be viewed as the well-known general epidemic process (GEP) in which nearest-neighbor interactions are replaced by Levy flights over distances r which are distributed as P(r) ~ r^(-d-sigma). By extensive numerical simulations we confirm previous field-theoretical results obtained by Janssen et al. [Eur. Phys. J. B7, 137 (1999)].

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Florian Linder, Johannes Tran-Gia, Silvio R. Dahmen, Haye Hinrichsen. 2008-02-07. Long-range epidemic spreading with immunization. https://doi.org/10.1088/1751-8113/41/18/185005

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