ON THE THEORY OF INNOVATION DIFFUSION THAT TAKES INTO ACCOUNT SEASONAL PERIODIC FLUCTUATIONS IN THE NUMBER OF CONSUMERS
- Authors: Ilyina E.A.1, Parfenova A.Y.1, Saraev L.A.1
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Affiliations:
- Samara National Research University
- Issue: Vol 11, No 3 (2020)
- Pages: 184-189
- Section: MATHEMATICAL AND INSTRUMENTAL METHODS OF ECONOMICS
- URL: https://journals.ssau.ru/eco/article/view/8151
- DOI: https://doi.org/10.18287/2542-0461-2020-11-3-184-189
- ID: 8151
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Abstract
In the published article, a generalization of the mathematical model of the diffusion of consumer innovations in the market with a variable total volume, developed by the authors, is proposed for the case of periodic seasonal changes in the number of potential buyers. A system has been built, consisting of diffusion equations for an innovative product, taking into account periodic fluctuations in the number of market participants, and equations for changing the total number of potential buyers of an innovative product.
About the authors
Elena A. Ilyina
Samara National Research University
Author for correspondence.
Email: elenaalex.ilyina@yandex.ru
сandidate of Physical and Mathematical Sciences, associate professor of the Department
of Mathematics and Business Informatics
Alena Yu. Parfenova
Samara National Research University
Email: egorovaalena@inbox.ru
senior Lecturer of the Department of Mathematics and Business Informatics
Russian FederationLeonid A. Saraev
Samara National Research University
Email: saraev_leo@mail.ru
doctor of Physical and Mathematical Sciences, professor, head of the Department
of Mathematics and Business Informatics
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