2015/03/07 by César M. Silva, Silva, César M., Silvério Rosa +7
Business, Management and Accounting · Mathematics · Physics and Astronomy · Social Sciences · #34C60 #37C75 #91C99 #Complex Network Analysis Techniques #Consumer Market Behavior and Pricing #Digital Marketing and Social Media #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:34C60 #msc:37C75 #msc:91C99
paper · pdf · doi:10.48550/arxiv.1503.03025
17 pages, 14 figures
arxiv created 2015/03/07 · openalex publication_date 2015/03/07 · arxiv updated 2015/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled by parameters depending on the social network and the marketing policy of the corporation. We obtain some results on the asymptotic number of regular customers and referral customers in several particular scenarios. Additionally we present some simulation that illustrates the behavior of the model and discuss its applicability.