MODEL STOCHASTIC DYNAMICS DIFFUSION OF INNOVATIONS


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Abstract

In the published article the mathematical model of diffusion of innovations in consumer, taking into account the influence of the external random disturbing factor. The equations of the stochastic dynamics of sales of innovative products describe the random process of continuous and distributed to increase the number of consumers of innovative products. It is shown that the inclusion in the stochastic model of a random external disturbance factor leads to a significant departure from the classical deterministic model smooth development of innovative products market.

About the authors

E. A. Ilyina

Depertment. of Mathematics and Business-Informatics, Samara National Research University, 34? Moskovskoye shosse, Samara, 443086, Russian Federation.

Author for correspondence.
Email: morenov.sv@ssau.ru

A. L. Saraev

Depertment. of Mathematics and Business-Informatics, Samara National Research University, 34? Moskovskoye shosse, Samara, 443086, Russian Federation.

Email: morenov.sv@ssau.ru

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