The key elements that contribute to the digital transformation of the enterprise in the context of the cross-industrial paradigm are outlined. On the basis of the proposed elements (development factor, rate of development, quality change density, multiplication factor), and by means of mathematical modelling, the effect of capturing the digital transformation of the enterprise in the bifurcation points is calculated. The totality of the presented developments allows us to predict the development and minimization of risks associated with digital transformation in the enterprise with all the ensuing consequences (stability, dynamics, transformation and forecast of its development vectors) and conclude that with the improvement of the quality of digital transformation, the efficiency of functioning of any production increases, i.e. an increase in quality by digital transformation by n times accompanies an increase in production efficiency by at least n times.This allows to minimize risks and predict enterprise activity taking into account the vector of its developmentdigital transformation. Under conditions of uncertainty, the use of the model will ensure the quality of the digital transformation of the enterprise from any level of development of companies.