A Spatial Stochastic Model for Rumor Transmission

Autor(es)

Coletti, Cristian F. ^[1] ; Rodriguez, Pablo M. ^[2] ; Schinazi, Rinaldo B. ^[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

• 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
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado