There is a significant volume of statistics on the audience of payment systems. We decided to develop mathematical models that will describe how the number of users of payment systems (and some other financial services) changes over time. To describe the dynamics of the audience, we used modifications of the Bass equations. These equations have long been successfully used to analyze the user behavior of mobile customers, social networks, retail and other areas. With some modifications, they can be used for analysis of the financial services.
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