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 in which nearest-neighbor interactions are replaced by Levy flights over distances r which are distributed as P(r) ∼ r−d−σ. By extensive numerical simulations, we confirm previous field-theoretical results obtained by Janssen et al (1999 Eur. Phys. J. B 7 137).
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