А mathematical model of estimation of sustainability and dynamics of innovative activity

The article is devoted to the issues of modeling the processes of selfdevelopment in the implementation of innovative projects based on social and economic connectedness and feedback. In order to develop strategies for inclusive development and minimize risks when launching innovative projects, a mathematical model has been developed in the form of a system of two differential inhomogeneous first-order equations describing the dynamics of innovative development. The model makes it possible to identify sustainability criteria for the launch of innovative activities depending on the intensity of social and economic feedback, and also shows that the magnitude of positive or negative feedback (or the lack of it) has no direct influence on the quantitative characteristic of sustainability of such development.

Keywords

mathematical model, innovative activity, inclusive development, sustainability criteria, direct and inverse relations, social and economic ties, initial conditions, development dynamics, social relations, heterogeneous differential equations, Runge-Kutta method, velocity diagram)

Received

14.03.2019

Publication date

14.03.2019

Number of characters

34667

Cite

GOST	Ivanova V. А mathematical model of estimation of sustainability and dynamics of innovative activity // Obshchestvo i ekonomika – 2019. – Issue 2 C. 43-63 [Electronic resource]. URL: https://oie.jes.su/S020736760004135-7-1 (circulation date: 19.04.2024). DOI: 10.31857/S020736760004135-7
MLA	Ivanova, Vera "А mathematical model of estimation of sustainability and dynamics of innovative activity." Obshchestvo i ekonomika 2 (2019):43-63. DOI: 10.31857/S020736760004135-7
APA	Ivanova V. (2019). А mathematical model of estimation of sustainability and dynamics of innovative activity. Obshchestvo i ekonomika (2), pp.43-63 DOI: 10.31857/S020736760004135-7

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