Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10370822 | Environmental Modelling & Software | 2011 | 6 Pages |
Abstract
We propose a realistic generalization of the Maki-Thompson rumour model by assuming that each spreader ceases to propagate the rumour right after being involved in a random number of stifling experiences. We consider the process with a general initial configuration and establish the asymptotic behaviour (and its fluctuation) of the ultimate proportion of ignorants as the population size grows to â. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed.
Related Topics
Physical Sciences and Engineering
Computer Science
Software
Authors
E. Lebensztayn, F.P. Machado, P.M. RodrÃguez,