A mathematical model for the customer dynamics based on marketing policy

César M. Silva, Silvério Rosa, Helena Alves () and Pedro Carvalho ()

Applied Mathematics and Computation, 2016, vol. 273, issue C, 42-53

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: Compartmental model; Stability; Marketing (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:42-53

DOI: 10.1016/j.amc.2015.09.050

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