Mathematical model of the dynamics of the interaction of goods prices on adjacent markets: the problem of limit cycles

Abstract

The work proposes an analytic model of economic dynamics which allows to study the dynamics of prices in adjacent markets depending on the value of the model parameters and, accordingly, can be the basis for simulation modeling. When applied to the model of two markets, this study demonstrates the possibilities of qualitative forecasting (namely, according to phase trajectories) of periodic regimes of market conditions. Application of the system of differential equations in this mathematical model of economic dynamics allows considering processes that are continuous in time. We show that in such a system there can be six limit cycles that determine the possible variants of its stationary state.