Study of the Dynamics of Product Sales Process with the Help of Zolotas Model

Abstract

A new mathematical model describing the dynamics of sales of goods on the market has been proposed. This model takes into account the following characteristics: the average welfare of buyers, the maximum welfare of buyers, the number of buyers who know about the incoming product and the level of market saturation with this product. Examples demonstrating the features of the constructed model are given.

Keywords

• process of product sales
• zolotas model
• system of ordinary autonomous differential equations
• stability
• limit cycle