Economic Analysis: Theory and Practice

Researching the synergistic effects and cyclicality of modern economic systems

Vol. 17, Iss. 11, NOVEMBER 2018

Received: 29 August 2018

Received in revised form: 12 September 2018

Accepted: 26 September 2018

Available online: 29 November 2018


JEL Classification: C02, C22, O13

Pages: 2166–2178

Boldyrevskii P.B. National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation

ORCID id: not available

Igoshev A.K. National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation

ORCID id: not available

Kistanova L.A. National Research Lobachevsky State University of Nizhny Novgorod (UNN), Nizhny Novgorod, Russian Federation

ORCID id: not available

Subject Various cyclical structures represent the most important part in the dynamics of economic process. To analyze the sustainability of economic systems, it is crucial to investigate causes of cyclicality and evaluate the characteristics of its impact on the economic performance of entities.
Objectives The aim is to construct economic and mathematical models enabling quantitative and qualitative analysis of economical systems' cyclical development, taking into account possible synergistic effects.
Methods We employ methods of the systems theory and systems analysis. Mathematical modeling rests on the Lotka–Volterra equations earlier developed for biological systems.
Results We considered several hypotheses. The most efficient are those relying on synergistic approach, as in this case the interrelation of external and internal factors of economic entities is considered to the fullest extent possible. The paper offers economic and mathematical models enabling to search and detect cycles, visualize circular constructions, calculate their characteristics, find centers (stationary state), considering the competitive environment of economic systems. We present mathematical models, like the Lotka–Volterra ones, and analyze the specifics of their behavior for several possible equilibrium states of economic systems. Furthermore, we developed approaches that are based on methods of phase analysis of economic systems. They help find and visualize system economic cycles.
Conclusions The proposed methods to analyze cyclical development of economic systems taking into account the synergistic effects enable to assess stability and cyclicality depending on the level of disturbances and delays in the control circuit.

Keywords: economic stability, cyclicality, competition, synergistic effect


  1. Kaganovich A.A. [Stability of space-time economic systems]. Izvestiya Sankt-Peterburgskogo gosudarstvennogo ekonomicheskogo universiteta = Bulletin of Saint-Petersburg State University of Economics, 2017, no. 2, pp. 12–16. URL: Link (In Russ.)
  2. Boldyrevskii P.B., Igoshev A.K., Kistanova L.A. [Analysis of the main factors of economic stability of industrial enterprises in Russia]. Vestnik Nizhegorodskogo universiteta imeni N.I. Lobachevskogo. Ser.: Sotsial'nye nauki = Vestnik of Lobachevsky State University of Nizhni Novgorod. Social Sciences, 2018, no. 1, pp. 7–13. URL: Link (In Russ.)
  3. Gorshenin V.F., Gorshenina D.A. [Cyclical development of nonlinear economic systems]. Vestnik Chelyabinskogo gosudarstvennogo universiteta = CSU Bulletin, 2014, no. 15, pp. 32–39. URL: Link (In Russ.)
  4. Dudin M.N., Lyasnikov N.V., Senin A.S., Kapustin S.N. The Cyclicity of the Development of the Global Economic System amid Present-Day Globalization. European Researcher, 2014, vol. 84, iss. 10-1, pp. 1752–1764. URL: Link
  5. Butorina O.V. [Theoretical foundations on the factor systematization in the cyclical development of economic systems (Russia, Perm)]. Problemy sovremennoi ekonomiki = Problems of Modern Economics, 2014, no. 1, pp. 65–68. URL: Link (In Russ.)
  6. Safiullin M.R., El'shin L.A., Prygunova M.I. [Mechanisms and methods for statistical analysis and tracing of shifts in phases of cyclical development of the economy under increased uncertainty of the institutional and market environment]. Natsional'nye interesy: prioritety i bezopasnost' = National Interests: Priorities and Security, 2016, no. 10, pp. 34–45. URL: Link (In Russ.)
  7. Campbell A. Strategicheskii sinergizm [Strategic Synergy]. St. Petersburg, Piter Publ., 2004, 416 p.
  8. Kas'yanenko T.G., Ivanov D.A. [Synergy in the modern economy: Definition and typology]. Ekonomika i Upravlenie: Problemy, Resheniya, 2017, vol. 4, no. 6, pp. 18–25. URL: Link (In Russ.)
  9. Abdokova L.Z. [Synergistic Effect How the Result of Effective Management]. Fundamental'nye issledovaniya = Fundamental Research, 2016, no. 10-3, pp. 581–584. URL: Link (In Russ.)
  10. Makarov V.L. [A review of mathematical models of innovation-driven economy]. Ekonomika i matematicheskie metody = Economics and Mathematical Methods, 2009, vol. 45, iss. 1, pp. 3–14. (In Russ.)
  11. Pozdeev A.G., Saptsin V.P., Kuznetsova Yu.A. [Generalization of Ecology Model of Lotka-Volterra Population Based on System Dynamics]. Vestnik Povolzhskogo gosudarstvennogo tekhnologicheskogo universiteta. Ser.: Les. Ekologiya. Prirodopol'zovanie = Vestnik of Volga State University of Technology. Series: Forest, Ecology, Nature Management, 2011, no. 2, pp. 94–101. URL: Link (In Russ.)
  12. Romanov V.P., Akhmadeev B.A.[Innovation ecosystem modelling based on 'predator-prey' model]. Biznes-informatika = Business Informatics, 2015, no. 1, pp. 7–17. URL: Link (In Russ.)
  13. Morris S.A., Pratt D. Analysis of the Lotka–Volterra competition equations as a technological substitution model. Technological Forecasting & Social Change, 2003, vol. 70, iss. 2, pp. 103–133.
  14. Ginzburg L.R., Konovalov N.Yu., Epel'man G.S. [Mathematical model of interaction between two populations]. Zhurnal obshchei biologii = Journal of General Biology, 1974, vol. 35, no. 4, pp. 613–620. (In Russ.)
  15. Gauze G.F. [On the processes of destruction of one species by another in populations of infusorias]. Zoologicheskii zhurnal = Zoological Journal, 1935, vol. 14, iss. 2, pp. 243–270. (In Russ.)
  16. Grebenkin I.V. [Simulation of market adaptation of industrial enterprises strategy]. Zhurnal ekonomicheskoi teorii = Russian Journal of Economic Theory, 2016, no. 2, pp. 72–80. (In Russ.)

View all articles of issue


ISSN 2311-8725 (Online)
ISSN 2073-039X (Print)

Journal current issue

Vol. 17, Iss. 11
November 2018