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 smallworld networks is replaced by randomly changing connections between individuals, is also analyzed in detail and compared with a mean-field approximation.
Zanette REF study the spread of rumors in a small-world network and provide proof of the propagation threshold.
Dynamics of rumor propagation on small-world networks
Physical review. E, Statistical, nonlinear, and soft matter physics
Physical review. E, Statistical, nonlinear, and soft matter physics
Physics Medicine