On the theory of innovation diffusion that takes into account variations in imitation coefficients and the nonlinear nature of saturation of the total market volume

The published article proposes a generalization of mathematical models of consumer innovation diffusion for the case of variable imitation coefficients and nonlinear variants of total market saturation. A differential equation of consumer innovation diffusion is constructed, taking into account variations in the imitation coefficient and nonlinearity of the total market saturation process. Possible scenarios for the development of the innovation diffusion process are considered, corresponding to various combinations of variants of changes in variable imitation coefficients with variants of nonlinear methods of total market saturation. Numerical analysis of the developed model showed good agreement with known statistical data on the growth in the number of users of the global Internet in Russia.