Using Mathematical Models for Analysis and Prediction of Payment Systems Behavior

Abstract

This research focuses on the behavior of isolated payment systems. Our previous analysis of the isolated ‘consumer-to-business’ (C2B) and ‘peer-to-peer’ (P2P) payment systems has shown that their behavior can be analyzed using modifications of the Bass equations. In this paper, this approach is extended to the analysis to `hybrid' payment systems with both C2B and P2P functionality using Ricatti equations. We derived universal solution which contains previously obtained C2B and P2P solutions as particular cases. The results are illustrated by analytical solutions for different system parameters and practical examples.