Publication detail

About one matematical model of market dynamics with time-delay

BAŠTINEC, J. DIBLÍK, J. KHUSAINOV, D. FEDOROVA, K.

Original Title

About one matematical model of market dynamics with time-delay

English Title

About one matematical model of market dynamics with time-delay

Type

conference paper

Language

en

Original Abstract

One of the most important things in real time is modelling of dynamics of economic growth. And one of the determining components of growth is stability of market relations. As a rule, building of mathematical models is based on the balance of products and the possible development of manufacture over a certain time interval. As a rule, the mathematical model has equilibrium positions and it is interesting to figure out conditions when this position is asymptotically stable. The state of system at the moment is essentially depend on prehistory. Because of this facts model of free competition market was developed and investigated, found out which components and how affect trade.

English abstract

One of the most important things in real time is modelling of dynamics of economic growth. And one of the determining components of growth is stability of market relations. As a rule, building of mathematical models is based on the balance of products and the possible development of manufacture over a certain time interval. As a rule, the mathematical model has equilibrium positions and it is interesting to figure out conditions when this position is asymptotically stable. The state of system at the moment is essentially depend on prehistory. Because of this facts model of free competition market was developed and investigated, found out which components and how affect trade.

Keywords

differential equations, market model, equilibrium point, characteristic equation, delay.

Released

05.12.2018

Publisher

Univerzita obrany v Brn2

Location

Brno

ISBN

978-80-7582-065-5

Book

Mathematics, Information Technologies and Applied Sciences 2018, post-conference proceedings of extended versions of selected papers

Edition number

1

Pages from

89

Pages to

95

Pages count

7

Documents

BibTex


@inproceedings{BUT151871,
  author="Jaromír {Baštinec} and Josef {Diblík} and Denys {Khusainov} and K. M. {Fedorova}",
  title="About one matematical model of market dynamics with time-delay",
  annote="One of the most important things in real time is modelling of dynamics of economic growth. And one of the determining components of growth is stability of market relations. As a rule, building of mathematical models is based on the balance of products and the possible development of manufacture over a certain time interval. As a rule, the mathematical model has equilibrium positions and it is interesting to figure out conditions when this position is asymptotically stable. The state of system at the moment is essentially depend on prehistory. Because of this facts model of free competition market was
developed and investigated, found out which components and how affect trade.",
  address="Univerzita obrany v Brn2",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2018, 
post-conference proceedings of extended versions of selected papers",
  chapter="151871",
  howpublished="online",
  institution="Univerzita obrany v Brn2",
  year="2018",
  month="december",
  pages="89--95",
  publisher="Univerzita obrany v Brn2",
  type="conference paper"
}