Mathematics – Probability
Scientific paper
2010-04-08
Mathematics
Probability
12 pages, to appear in Environmental Modelling & Software
Scientific paper
10.1016/j.envsoft.2010.10.015
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 $\infty$. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed.
Lebensztayn Elcio
Machado Fábio P.
Rodriguez Pilar Montañés
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