Abstract

AbstractIn this paper, the authors touch upon a rather topical issue of the diffusion of innovations. The success of the innovation process and innovation activity depends on the speed and intensity of the diffusion of innovations. The authors considered the factors influencing the diffusion of innovations and the dissemination of information among the subjects (buyers, consumers, individuals, enterprises), namely the impact on the density of connections between the subjects of innovative activity. With their help, it is possible to manage the process of diffusion of innovations in a specific market and in a certain period of time. It is proved that the diffusion of innovations has certain distribution laws and can be modeled. The authors have considered and shown the possibility of modeling the process of diffusion of innovations using the diffusion equation, which is well known from mathematical physics (also known as the heat conduction equation). The paper proposes the diffusion of innovations in a certain spatially limited area, for example, within a separate state or their aggregate, region, city, and so on. The solution to this problem is of interest for further study of the development and modeling of innovative processes, and this will be reflected in the subsequent works of the authors.KeywordsInnovationDiffusionDensity of connectionsFactorsModelingInnovation processLogistic curve

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