A Spatial Stochastic Model for Rumor Transmission

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Autor(es):	Coletti, Cristian F. ^[1] ; Rodriguez, Pablo M. ^[2] ; Schinazi, Rinaldo B. ^[3] Número total de Autores: 3
Afiliação do(s) autor(es):	^[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Santo Andre, SP - Brazil ^[2] USP, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil ^[3] Univ Colorado, Dept Math, Colorado Springs, CO 80933 - USA Número total de Afiliações: 3
Tipo de documento:	Artigo Científico
Fonte:	Journal of Statistical Physics; v. 147, n. 2, p. 375-381, APR 2012.
Citações Web of Science:	9
Resumo
We consider an interacting particle system representing the spread of a rumor by agents on the d-dimensional integer lattice. Each agent may be in any of the three states belonging to the set [0,1,2]. Here 0 stands for ignorants, 1 for spreaders and 2 for stiflers. A spreader tells the rumor to any of its (nearest) ignorant neighbors at rate lambda. At rate alpha a spreader becomes a stifler due to the action of other (nearest neighbor) spreaders. Finally, spreaders and stiflers forget the rumor at rate one. We study sufficient conditions under which the rumor either becomes extinct or survives with positive probability. (AU)

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