Influence of changes to the total volume of the market on the kinetics of the process of diffusion of innovations

In the published article, a mathematical model of diffusion of consumer innovations is proposed, taking into account the change in time of the total number of potential buyers. The study of the features and patterns of distribution processes in the markets for goods with new properties is an urgent problem of modern economic theory. The development of new mathematical models describing the processes of diffusion of consumer innovations helps to adequately assess the growth rate of sales of goods with new properties, to predict indicators of market capture, to calculate the time intervals for stagnation or decrease in their sales, etc. The aim of the published work is to develop a new economic and mathematical model of diffusion of innovations in conditions of unstable consumer behavior. This model is a non-linear differential equation with variable coefficients. The peculiarity of the proposed model and its scientific novelty is that, in contrast to the classical model of diffusion of innovations, it takes into account the change in time of the total number of potential buyers, the number of innovator buyers, and the number of imitating buyers...