Construction of a model of dynamics of production market processes in two-sector macroeconomics

Authors

  • Nataliya D. Pankratova ESC "IASA" of "Igor Sikorsky KPI", Kyiv, Ukraine https://orcid.org/0000-0002-6372-5813
  • L. P. Khoroshun The Department of Mechanics of Stochastically Inhomogeneous Media of S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • S. L. Yakhin The Faculty of Applied Mathematics of Igor Sikorsky KPI, Kyiv, Ukraine

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2019.1.06

Keywords:

model, macroeconomics, capital, wealth, productivity, accumulation, depreciation, money supply, price, inflation

Abstract

A mathematical model of the dynamics of production-market processes in macroeconomics is proposed, which is based on the associated differential equations of the production balance taking into account productivity, depreciation of production accumulation and human participation, and the balance of monetary flows in a two-sector macroeconomy model with extended reproduction. A generalization of the production model in the case of the existence of types of capital with different productivity, production accumulation, depreciation and participation of people has been carried out. The specific tasks describing the growth, decline and cyclical nature of production, as well as inflation, are considered.

Author Biographies

Nataliya D. Pankratova, ESC "IASA" of "Igor Sikorsky KPI", Kyiv

Nataliya Dmitrievna Pankratova,

Corresponding Member of the National Academy of Sciences of Ukraine, Professor, Doctor of Technical Sciences, acting Deputy Director of ESC "IASA" of "Igor Sikorsky KPI", Kyiv, Ukraine.

L. P. Khoroshun, The Department of Mechanics of Stochastically Inhomogeneous Media of S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv

Leonid Petrovich Khoroshun,

Corresponding Member of the National Academy of Sciences of Ukraine, Doctor of Sciences (Physics and Mathematics), the Head of the Department of Mechanics of Stochastically Inhomogeneous Media of S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine.

S. L. Yakhin, The Faculty of Applied Mathematics of Igor Sikorsky KPI, Kyiv

Sergey Leonidovich Yakhin,

a student at the Faculty of Applied Mathematics of Igor Sikorsky KPI, Kyiv, Ukraine.

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Published

2019-03-25

Issue

No. 1 (2019)

Section

Decision making and control in economic, technical, ecological and social systems

License

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