A Spatial Stochastic Model for Rumor Transmission |
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Authors: | Cristian F Coletti Pablo M Rodríguez Rinaldo B Schinazi |
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Institution: | 1.Centro de Matemática, Computa??o e Cogni??o,UFABC,Santo André,Brazil;2.Instituto de Ciências Matemáticas e de Computa??o,USP,S?o Carlos,Brazil;3.Department of Mathematics,University of Colorado at Colorado Springs,Colorado Springs,USA |
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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
λ. At rate α 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. |
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Keywords: | |
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