About a mathematical model of market

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Kulikov, D.A.^1

Faculty of Mathematics, Yaroslavl State University, Sovetskaya str. 14, Yaroslavl

150000, Russia^1

关键词: Market economies;    Market model;    Periodic solution;    Stable cycles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012024/pdf
DOI  :  10.1088/1742-6596/788/1/012024

来源: IOP

【 摘 要 】

In the paper a famous mathematical model of macroeconomics, which is called "market model" was considered. Traditional versions of this model have no periodic solutions and, therefore, they cannot describe a cyclic recurrence of the market economy. In the paper for the corresponding equation a delay was added. It allows obtaining sufficient conditions for existence of the stable cycles.