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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the behaviour of a rumour process with random stifling

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Author(s):
Lebensztayn, E. [1] ; Machado, F. P. [1] ; Rodriguez, P. M. [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Dept Stat, Inst Math Stat & Sci Comp, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: ENVIRONMENTAL MODELLING & SOFTWARE; v. 26, n. 4, p. 517-522, APR 2011.
Web of Science Citations: 17
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 infinity. Our approach leads to explicit formulas so that the limiting proportion of ignorants and its variance can be computed. (C) 2010 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 10/06967-2 - Random walk systems and their applications to models of information diffusion
Grantee:Pablo Martin Rodriguez
Support type: Scholarships in Brazil - Post-Doctorate