Competition model in the "manufacturer – second-hand dealers" type systems

Authors

  • Игорь Владимирович Наумейко Kharkov State University of Radio-electronics 14, Lenin av., Kharkov, Ukraine, 61166, Ukraine
  • Валид Ахмед Альрефаи Kharkov State University of Radio-electronics 14, Lenin av., Kharkov, Ukraine, 61166, Ukraine

DOI:

https://doi.org/10.15587/2313-8416.2014.28094

Keywords:

mathematical model, economy, competition, modification, Lotka-Volterra model, producer, second-hand dealer, Mathcad, instability

Abstract

Mathematical models of competitive processes in the economy using known universal models describing the behavior of counterparties in the market are built. The mathematical model of "producer-second-hand dealer" on the basis of mathematical model by Lotka-Volterra and its further development is created. Its modified version is obtained and model analyses using mathematical package Mathcad is investigated. The behavior instability of the counterparties and some prospects for further improvements of the model are identified.

Author Biographies

Игорь Владимирович Наумейко, Kharkov State University of Radio-electronics 14, Lenin av., Kharkov, Ukraine, 61166

PhD, Associate Professor

Department of Applied Mathematics

Валид Ахмед Альрефаи, Kharkov State University of Radio-electronics 14, Lenin av., Kharkov, Ukraine, 61166

PhD, Associate Professor

Department of Applied Mathematics

References

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Published

2014-10-14

Issue

Section

Technical Sciences