A STOCHASTIC TWO-STAGE INNOVATION DIFFUSION MODEL ON A LATTICE

Autor(es)

Coletti, Cristian F. ; De Oliveira, Karina B. E. ; Rodriguez, Pablo M.

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF APPLIED PROBABILITY; v. 53, n. 4, p. 1019-1030, DEC 2016.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/22185-0 - Modelo de sistema de partículas para a difusão de uma informação em Zd
• Beneficiário: Karina Bindandi Emboaba de Oliveira
• Modalidade de apoio: Bolsas no Brasil - Mestrado
• Processo FAPESP: 13/03898-8 - Modelagem estocástica da difusão de uma informação em sistemas interagentes
• Beneficiário: Pablo Martin Rodriguez
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/03868-7 - Comportamento assintótico de processos estocásticos em grafos e aplicações
• Beneficiário: Pablo Martin Rodriguez
• Modalidade de apoio: Bolsas no Exterior - Pesquisa