Long-range epidemic spreading with immunization

TL;DR

This paper investigates the phase transition in a long-range epidemic model incorporating immunization, using numerical simulations to confirm theoretical predictions about the critical behavior of the process.

Contribution

It extends the general epidemic process by including Levy flight-based long-range interactions and confirms theoretical results through extensive numerical simulations.

Findings

Confirmed field-theoretical predictions about phase transition behavior.

Validated the impact of long-range interactions on epidemic spreading.

Provided numerical evidence supporting the theoretical framework.

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)].