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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 STOCHASTIC TWO-STAGE INNOVATION DIFFUSION MODEL ON A LATTICE

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Author(s):
Coletti, Cristian F. ; De Oliveira, Karina B. E. ; Rodriguez, Pablo M.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF APPLIED PROBABILITY; v. 53, n. 4, p. 1019-1030, DEC 2016.
Web of Science Citations: 0
Abstract

We propose a stochastic model describing a process of awareness, evaluation, and decision making 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]. In this model 0 stands for ignorants, 1 for aware, and 2 for adopters. Aware and adopters inform its nearest ignorant neighbors about a new product innovation at rate lambda. At rate alpha an agent in aware state becomes an adopter due to the influence of adopters' neighbors. Finally, aware and adopters forget the information about the new product, thus becoming ignorant, at rate 1. Our purpose is to analyze the influence of the parameters on the qualitative behavior of the process. We obtain sufficient conditions under which the innovation diffusion ( and adoption) either becomes extinct or propagates through the population with positive probability. (AU)

FAPESP's process: 12/22185-0 - An interacting particle system model for information diffusion on ZD
Grantee:Karina Bindandi Emboaba de Oliveira
Support type: Scholarships in Brazil - Master
FAPESP's process: 13/03898-8 - Stochastic modeling of information difusion on interacting systems
Grantee:Pablo Martin Rodriguez
Support type: Regular Research Grants
FAPESP's process: 15/03868-7 - Asymptotic behavior of stochastic processes on graphs and applications
Grantee:Pablo Martin Rodriguez
Support type: Scholarships abroad - Research