English

A mathematical model for the customer dynamics based on marketing policy

Dynamical Systems 2015-03-11 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1503.03025,
  title  = {A mathematical model for the customer dynamics based on marketing policy},
  author = {César M. Silva and Silvério Rosa and Helena Alves and Pedro G. Carvalho},
  journal= {arXiv preprint arXiv:1503.03025},
  year   = {2015}
}

Comments

17 pages, 14 figures

R2 v1 2026-06-22T08:49:08.484Z