About a mathematical model of market

[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.

[发布机构] Faculty of Mathematics, Yaroslavl State University, Sovetskaya str. 14, Yaroslavl; 150000, Russia^1

[效力级别] 数学

[关键词] Market economies;Market model;Periodic solution;Stable cycles