A mathematical model for the customer dynamics based on marketing policy. (English) Zbl 1410.91323
Summary: 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.
MSC:
| 91B42 | Consumer behavior, demand theory |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 37N40 | Dynamical systems in optimization and economics |
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