Long-range epidemic spreading with immunization
Statistical Mechanics
2008-04-22 v1
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)].
Keywords
Cite
@article{arxiv.0802.1028,
title = {Long-range epidemic spreading with immunization},
author = {Florian Linder and Johannes Tran-Gia and Silvio R. Dahmen and Haye Hinrichsen},
journal= {arXiv preprint arXiv:0802.1028},
year = {2008}
}
Comments
LaTeX, 14 pages, 4 eps figures