Long-range epidemic spreading with immunization

Details Long-range epidemic spreading with immunization Long-range epidemic spreading with immunization

2008-02-07

arxiv.org/abs/0802.1028v1

J. Phys. A: Math. Theor. 41 (2008) 185005

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 14 pages, 4 eps figures

Scientific paper

10.1088/1751-8113/41/18/185005

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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