Phys. Rev. E 65, 041908 (2002) [9 pages]Dynamics of rumor propagation on small-world networksReceived 16 October 2001; published 28 March 2002 We study the dynamics of an epidemiclike 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.041908
DOI:
10.1103/PhysRevE.65.041908
PACS:
87.23.Ge, 89.75.Hc, 05.10.-a
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