Dynamics of rumor propagation on small-world networks

Abstract

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.

9 pages, 9 figures, submitted to PRE

References in corpus (3)

• Epidemic dynamics and endemic states in complex networks
• Critical behavior of propagation on small-world networks
• Small-world behavior in a system of mobile elements

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