Long-range epidemic spreading with immunization

2008/02/07 by Florian Linder, Johannes Tran-Gia, Silvio R Dahmen +2 · 2 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Diffusion and Search Dynamics #Theoretical and Computational Physics #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1088/1751-8113/41/18/185005

published as J. Phys. A: Math. Theor. 41 (2008) 185005 · LaTeX, 14 pages, 4 eps figures

arxiv created 2008/02/07 · openalex publication_date 2008/04/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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)].

Citations

• Non-equilibrium critical phenomena and phase transitions into absorbing states

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