학술논문

Asymptotic behavior for a modified Maki-Thompson model with directed inter-group interactions
Document Type
Working Paper
Source
Subject
Mathematics - Probability
60K35, 60J28, 97M99
Language
Abstract
In this work we propose a new extension for the Maki-Thompson rumor model which incorporates inter-group directed contacts. The model is defined on an homogeneously mixing population where the existence of two differentiated groups of individuals is assumed. While individuals of one group have an active role in the spreading process, individuals of the other group only contribute in stifling the rumor provided they would contacted. For this model we measure the impact of dissemination by studying the remaining proportion of ignorants of both groups at the end of the process. In addition we discuss some examples and possible applications.