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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.)

A Spatial Stochastic Model for Rumor Transmission

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Author(s):
Coletti, Cristian F. [1] ; Rodriguez, Pablo M. [2] ; Schinazi, Rinaldo B. [3]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: Journal of Statistical Physics; v. 147, n. 2, p. 375-381, APR 2012.
Web of Science Citations: 9
Abstract

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)

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