K.B. Ostapchenko, PhD, Tech., O.I. Lisovychenko, PhD, Tech.
National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»
(37, Prosp. Peremohy, Kyiv, Ukraine, 03056 e-mail:
Z.Kh. Borukaiev, Dr. Sci. Tech.
Pukhov Institute for Modeling in Energy Engineering National Academy of Sciences of Ukraine
(15, Str. General Naumov, Kyiv, Ukraine, 03164 e-mail:
Èlektron. model. 2019, 41(6):37-48
A mathematical model of a regulatory mechanism has been developed for analyzing the profits dynamics of production companies in the context of changes in prices for the main production resources on the wholesale market with a single buyer. This model is based on the further de-velopment of the use of the Volterra “predator–prey” mathematical model and the Verhulst lo-gistic equation. An analytical solution has been found for a particular case of the model, which makes it possible to establish the dependencies necessary for making decisions by the market regulator on pricing products and production resources. In order to research the model, compu-tational experiments were carried out, which confirm the reliability of the obtained simulation results and the adequacy of the actual interaction processes in the economic system "produc-ers-single buyer".
mathematical model, regulatory mechanism, profit, wholesale market.
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