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: 08.09.2024). 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

100 rub.

When subscribing to an article or issue, the user can download PDF, evaluate the publication or contact the author. Need to register.

Number of purchasers: 2, views: 1211

Readers community rating: votes 0

1. Pervozvanskij A.A., Pervozvanskaya T.N. Finansovyj rynok: raschet i risk // M.: Infra-M, 1994 g. S. 80–81.

2. Lepskij V.E. Samorazvivayuschiesya innovatsionnye sredy v kontekste stanovleniya VII sotsiogumanitarnogo tekhnologicheskogo uklada / Organizatsiya samorazvivayuschikhsya innovatsionnykh sred // M.: «Kogito-Tsentr», 2012.

3. Bestuzhev-Lada I.V. O prognoznom obosnovanii sotsial'nykh novovvedenij / Ehkonomicheskaya teoriya v XXI veke – 7(14): Innovatsionnaya ehkonomika // M.: Krasnodar, 2008. S. 9–17.

4. Ivanova V.N. Funktsional'nye modeli innovatsionnogo razvitiya v postindustrial'noj ehkonomike // Voprosy novoj ehkonomiki. 2009. № 4. S.23–32.

5. Ivanova V.N. Znaniya kak forma sotsial'nykh obratnykh svyazej v innovatsionnom razvitii /Materialy Mezhdunarodnogo molodezhnogo nauchnogo foruma «LOMONOSOV-2017». [Ehlektronnyj resurs] — M.: MAKS Press, 2017. Cektsiya "Sotsiologiya", podsektsiya «Ehkonomicheskaya sotsiologiya».

6. Ivanova V.N. Znaniya kak klyuchevoj resurs sotsial'nykh innovatsij / Rossijskoe sistemnoe perestroenie kak strategicheskaya neizbezhnost': neoehkonomika, neoindustrializatsiya, neodirizhizm: Sbornik tezisov vystuplenij uchastnikov Mezhdunarodnoj nauchnoj konferentsii // M.: Ehkonomicheskij fakul'tet MGU im. M. V. Lomonosova, 2016. S. 118–119.

7. Ivanova V.N. Ob istokakh sotsial'nykh ogranichenij v innovatsionnoj deyatel'nosti / Materialy Mezhdunarodnoj nauchnoj konferentsii «Rossiya na puti k Rossii: kontseptual'nyj poisk i khozyajstvennaya strategiya»: Sbornik tezisov vystuplenij // M.: Ehkonomicheskij fakul'tet MGU imeni M.V. Lomonosova, 2017. S. 221–223.

8. Ivanov A.A. Russkie v Rossijskoj Federatsii (prichiny sotsial'noj dezadaptatsii) / Ehkonomicheskaya teoriya v XXI veke – 1(8): Ehkonomika Postmoderna // M.: Ehkonomist'. 2004. S. 628–636.

9. Ivanov A.A. Sovremennaya Rossiya: krizis identichnosti / Materialy mezhdunarodnoj nauchnoj konferentsii v MGU im. M.A. Lomonosova «Neuemnaya Rossiya» // Izdatel'stvo Volgogradskogo gosudarstvennogo universiteta. Moskva-Volgograd. 2003. Tom 1. S. 230–234.

10. Ivanov A.A. «Rossiyane» kak simvol sistemnogo sotsial'nogo krizisa / Perestroenie Rossii. V 2 t. T.2. // M.; Volgograd: Volgogradskoe nauchnoe izdatel'stvo, 2010. S.113–122.

11. Ivanov A.A., Ivanova V.N. Istoki, struktura i funktsii sotsial'nykh svyazej v innovatsionnoj deyatel'nosti // Filosofiya khozyajstva. 2018. № 3 (117). S. 230–244.

12. Furmans V. Voennye otstavniki idut v korporatsii // Vedomosti. 12.04.2017. S. 21.

13. Polterovich V., Popov V., Tonis A. Mekhanizmy «resursnogo proklyatiya» i ehkonomicheskaya politika // Voprosy ehkonomiki. 2007. № 6. C. 4-27.

14. Sannikova K. Gennadij Voronin: Popravki v ZAKON «O Tekhnicheskom regulirovanii» – ocherednaya oshibka, on prosto NE NUZhEN! // www. angi.ru, 18.12.2009.

15. Perechen' dejstvuyuschikh Tekhnicheskikh reglamentov Rossijskoj Federatsii // http://rostestbarnaul.ru/perechen-dejstvuyushhix-texnicheskix-reglamentov-rf/.

16. Fedorov E. Izmeneniya v zakon o tekhnicheskom regulirovanii rekomendovany kprinyatiyu // www. legis.ru, 18.12.2009.

17. Frolov D.P. Institutsional'naya logika tekhnologicheskogo progressa (sluchaj nanotekhnologij) // Journal of Institutional Studies - Zhurnal institutsional'nykh issledovanij. 2012. T. 4. № 1. S. 49–64.

18. Salikhov B.V., Antipova D.A. Innovatsionnoe myshlenie i osnovy mekhanizma upravleniya tvorcheskim potentsialom sovremennoj korporatsii // Transportnoe delo Rossii. 2014. № 1. S.205–210.

19. Ivanova V.N. Dinamicheskaya model' innovatsionnogo razvitiya / Ehkonomicheskaya teoriya v XXI veke – 8(15): Ehkonomika modernizatsii: monografiya // M.; Rostov n/D: Vuzovskaya kniga, 2011. S. 186–192.

20. Ivanova V.N. Nauchno-tekhnicheskie klastery kak instrument innovatsionnogo razvitiya v ramkakh ehvolyutsionnoj ehkonomicheskoj teorii // Ehkonomicheskij vestnik Yaroslavskogo universiteta. 2009. № 30. S. –11.

21. Ivanov A.A. Irratsional'noe povedenie: istoki, formy, kriterii / Sovremennost': khozyajstvennye algoritmy i praktiki. Mosk. gos. un-t im. M.V. Lomonosova // M.; Tambov: Izdatel'skij dom TGU im. G.R. Derzhavina, 2016. C. 447–457.