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The article offers the author’s view on the formation of an economic and mathematical model that takes into account the influence of the innovative potential of an enterprise on the dynamics of growth in the volume of output, taking into account a number of production factors characteristic of a manufacturing enterprise. The proposed economic and mathematical model allows us to take into account the mutual influence of both the product potential of an industrial enterprise and its process and innovation potential. In its structure, the economic and mathematical model proposed by the authors is presented in the form of a system of differential equations that takes into account the volume of resources of various types available to an industrial enterprise, as well as the functions of its innovative potential and indicator functions that characterize the process of managing the processes of using the innovative potential available to an industrial enterprise. The work displays several options for assessing the process of forming the innovative potential of an industrial enterprise, taking into account different combinations of possible product and process technological innovations. The economic and mathematical model proposed by the authors for taking into account the influence of the innovative potential of an enterprise on the dynamics of growth in the volume of manufactured products provides for an alternative approach to the formation of the innovative potential of an industrial enterprise: either the innovative potential of an industrial enterprise is formed through the introduction of product technological innovations, implying the introduction of new goods to the consumer market with an additional set of product characteristics, or innovative potential is formed on the basis of the use of innovations in the field of organizational sphere: production organization and labor organization. The authors proposed variants of scenarios for the development of events in which the innovative potential can be used both immediately and with some delay in time.
Ermakova et al. (Mon,) studied this question.