Dynamics of rumor propagation on small-world networks
Statistical Mechanics
2009-11-07 v1 Adaptation and Self-Organizing Systems
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.
Keywords
Cite
@article{arxiv.cond-mat/0110324,
title = {Dynamics of rumor propagation on small-world networks},
author = {Damian H. Zanette},
journal= {arXiv preprint arXiv:cond-mat/0110324},
year = {2009}
}
Comments
9 pages, 9 figures, submitted to PRE