Asymptotic behavior for a modified Maki-Thompson model with directed\n inter-group interactions

2019/03/01 by Carolina Grejo, Pablo M. Rodríguez, Grejo, Carolina +1 · 2 citations
Mathematics · Medicine · Physics and Astronomy · #60J28 #60K35 #97M99 #Complex Network Analysis Techniques #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1903.00157

openalex publication_date 2019/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we propose a new extension for the Maki-Thompson rumor model\nwhich incorporates inter-group directed contacts. The model is defined on an\nhomogeneously mixing population where the existence of two differentiated\ngroups of individuals is assumed. While individuals of one group have an active\nrole in the spreading process, individuals of the other group only contribute\nin stifling the rumor provided they would contacted. For this model we measure\nthe impact of dissemination by studying the remaining proportion of ignorants\nof both groups at the end of the process. In addition we discuss some examples\nand possible applications.\n

Cited by

• Critical thresholds in stochastic rumors on trees
• The maximum proportion of spreaders in stochastic rumor models

Related

• The maximum proportion of spreaders in stochastic rumor models
• The Maki-Thompson model with random awareness
• The role of multiple repetitions on the size of a rumor
• A process of rumor scotching on finite populations
• The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks