On the behaviour of a rumour process with random stifling

Autor(es)

Lebensztayn, E. ^[1] ; Machado, F. P. ^[1] ; Rodriguez, P. M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Stat, Inst Math Stat & Sci Comp, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ENVIRONMENTAL MODELLING & SOFTWARE; v. 26, n. 4, p. 517-522, APR 2011.
• Citações Web of Science: 17

Resumo

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)

• Processo FAPESP: 10/06967-2 - Modelos de sistemas de passeios aleatórios e aplicações na difusão de uma informação
• Beneficiário: Pablo Martin Rodriguez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado