Long-range epidemic spreading with immunization

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)].

LaTeX, 14 pages, 4 eps figures

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• Complex networks with tuneable dimensions as a universality playground
• Long-range epidemic spreading in a random environment
• Continuum percolation of overlapping discs with a distribution of radii having a power-law tail
• Phase-transitions of the random bond Potts chain with long-range interactions
• Tricritical directed percolation with long-range interaction in one and two dimensions
• Susceptible-Infected-Recovered model on Euclidean network
• Fractional Klein-Gordon Equation on AdS${}_{2+1}$
• Vicious walks with long-range interactions
• Persistence discontinuity in disordered contact processes with long-range interactions
• An epidemic process mediated by a decaying diffusing signal