Abstract

The aim of the article. The aim of the article is to change investment processes in the economic system, to define impact factors on investment resources distribution, and also their estimation owing to Lotka-Volterra synergetic model. The results of the analysis. Modern tendencies of the native economy development, political unsteadiness, imperfection of the legislative base precondition decrease of the investment and innovative processes in country. The conducted analysis of the main statistic factors, which reflect investment and innovative development in Ukraine and Sumy district, showed unsteadiness in modern investment processes. Investment climate continues to be negative. Thus, it makes foreign investors to carry out careful policy in sphere of the investment cooperation with Ukraine, and so it causes shortage of the financial resources, leading to the business struggle between economic system subjects. The work grounds necessity to use systematic approach to analysis, which considers synergy of various components in transformations of the modern social and economic environment. Synergetic approach defines impossibility of the full description by adequate behavior terms in the complicated system and its development process, as axiom. However it lets to outline determinancy, general and specific regularities, principals and peculiarities of the economic system dynamics. Thus, synergetic models use in investment processes description creates possibility to study economic system changes path with different values of incoming parameters and to find optimal decisions for problems. In order to find principal peculiarities in processes and to estimate impact parameters on economic system state, the Lotka-Volterra model is observed, that allows to describe main factors, influencing the investment processes in economic systems of the regional level, on example of Sumy district, to reveal essential regularities in business struggle in economic system, and also to model interconnection at the market through the suggested model parameters. Conclusions and directions of further researches. The model is observed, that allows to describe main factors, influencing the investment processes in economic systems of the regional level is qualitative, and makes a claim to describe accurate quantitative image of the processes,which take place in economic system. However, simultaneous use of the suggested equations and other methods allow to use Lotka-Volterra model to reveal essential regularities in the business struggle in the economic system, and also to model interconnection at the market through the suggested parameters in the model.

Keywords: analysis, dynamic model, investments, innovations, system

JEL Classification: O32, O33, C53, R11.

Cite as: Lyulyov O. & Pimonenko, T. (2017). Lotka-Volterra model as an instrument of the investment and innovative processes stability analysis. Marketing and Management of Innovations, 1, 159-169. https://doi.org/10.21272/mmi.2017.1-14

This work is licensed under a Creative Commons Attribution 4.0 International License

References

1. Kudriashov, V.P. (2008). Kurs finansiv [Finance course]. Kyiv: Znannia [in Ukrainian].
2. Zakon Ukrainy «Pro investytsiinu diialnist» [The Law of Ukraine «On investment activity»]. (n.d.). zakon.rada.gov.ua. Retrieved from http://zakon3.rada.gov.ua/laws/show/1560-12 [in Ukrainian].
3. Ofitsiinyi sait Derzhavnoi sluzhby statystyky Ukrainy [Site of State Statistics Service of Ukraine]. ukrstat.gov.ua. Retrieved from http://www.ukrstat.gov.ua/ [in Ukrainian].
4. Holovne upravlinnia statystyky u Sumskii oblasti [Site of Department of Statistics in the Sumy region]. sumy.ukrstat.gov.ua. Retrieved from http://sumy.ukrstat.gov.ua/index.php [in Ukrainian].
5. Zang, V.B. (1999). Sinergeticheskaya ekonomika. vremia i peremeny v nelineinoi ekonomicheskoi teorii [Synergetic Economics]. Moscow: Mir [in Russian].
6. Trubetskov, D.Y. (2011). Fenomen matematicheskoj modeli Lotki-Volterry i sxodnyx s nej [Phenomenon of Lotka–Volterra mathematical model and similar models]. Izvestiia vyshshikh uchebnykh zavedenii. prikladnaia nelineinaia dinamika – Izvestiia VUZov. Applied Nonlinear Dynamics,19(2), 69-88 [in Russian].
7. Caroll, G.R. (1981). Dynamics of Organizational Expansion in National Systems of Education. American Sociological Review, 46, 161-178 [in English].
8. Volterra, V. (1976). Matematicheskaia teoriia borby za sushchestvovanie [The mathematical theory of the struggle for existence]. Moscow: Nauka [in Russian].
9. Aliluiko, A.M. (2013). Doslidzhennia konkurentnoi vzaiemodii na rynku posluh mobilnoho zv’iazku [Study of competitive interaction of the mobile communications service market]. Innovatsiina ekonomika – Innovative Economy, 2, 221-226 [in Ukrainian]. 
10. Amosha, O. (1999). Problemy investuvannia restrukturyzatsii promyslovosti Ukrainy do 2010 roku [Problems of industrial restructuring investment to Ukraine 2010]. Materialy naukovoi konferentsii –Materials Conference, 59-62 [in Ukrainian].
11. Bazhal, Yu. (2004). Rozvytok natsionalnoi innovatsiinoi systemy yak skladovoi ukrainskoho informatsiinoho suspilstva [Development of the national innovation system as part of the information society Ukrainian]. Informatsiine Suspilstvo. Shliakh Ukrainy – Information Society. The way of Ukraine. Kyiv: Foundation «Information Society of Ukraine», 87-93 [in Ukrainian].
12. Illyashenko, S.M. (2011). Fundamentalni osnovy formuvannia mekhanizmiv zabezpechennia innovatsiinoho rozvytku ekonomichnykh system. Porivnialnyi analiz natsionalnykh modelei formuvannia mekhanizmiv zabezpechennia innovatsiinoho rozvytku u krainakh svitu [The fundamental basis for the formation mechanisms of innovation development of economic systems. Comparative analysis of national models of formation mechanisms of innovation development in the world]. Zvit – Report. Sumy: Sumy State University [in Ukrainian].
13. Gerasymchuk, Z.V., & Kutsan, N.S. (2010). Problemy ta perspektyvy stanovlennia innovatsiinoho potentsialu v rehionakh Ukrainy [Problems and prospects of innovative potential in regions Ukraine]. Rehionalna ekonomika – Regional Economics, 1, 48-52 [in Ukrainian]. 
14. Danylyshyn, B.M., Koretsky, M.H., & Datsii, O.I. (2006). Investytsiina polityka v Ukraini [Investment policy in Ukraine]. Donetsk [in Ukrainian].
15. Deineko, L.V. (n.d.). Innovatsiinyi rozvytok kharchovoi promyslovosti Ukrainy [Innovative development of food industry of Ukraine]. http://naukain-form.kpi.ua. Retrieved from http://naukain-form.kpi.ua/Lists/Istor_nauka_naukoznavstvo/ Attachments/22/19-009%20Block.pdf [in Ukrainian].
16. Kuzmin, O., & Didyk, A. (2016). Stan zastosuvannia sotsialno-ekonomichnykh vazheliv dlia zabezpechennia polivektornoho rozvytku promyslovykh pidpryiemstv v Ukraini [The state of application of socio-economic tools to ensure multi-vector development of industrial enterprises in Ukraine]. Problems of Economy, 2, 102-109 [in Ukrainian].