Dynamics of rumor propagation on small-world networks

Details Dynamics of rumor propagation on small-world networks Dynamics of rumor propagation on small-world networks

2001-10-16

arxiv.org/abs/cond-mat/0110324v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 9 figures, submitted to PRE

Scientific paper

10.1103/PhysRevE.65.041908

We study the dynamics of an epidemic-like model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the two regimes. The variant of dynamic small worlds, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals, is also analyzed in detail and compared with a mean-field approximation.

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