文章基本信息

标题：Dynamics of the Delayed Business Cycle Model with Expectation and General Saving Function
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作者：Ratchata Utama ; Ekkachai Kunnawuttipreechachan
期刊名称：Universal Journal of Accounting and Finance
印刷版ISSN：2331-9712
电子版ISSN：2331-9720
出版年度：2021
卷号：9
期号：2
页码：210-216
DOI：10.13189/ujaf.2021.090210
语种：English
出版社：Horizon Research Publishing
摘要：In this paper, we study a class of business cycle models related to the relationship between the gross product and the capital stock. The model is extended by adding general terms of the investment and the saving functions. In addition, a time delay which is represented an expectation and time lag for investment is also added into the model. The aim for this work is to find the sufficient conditions in which the model's solution is periodic. We study the existence of unique positive equilibrium. Next, the linearization method is used to analyze local behavior of the model. In addition, by considering time delay as a bifurcation parameter, we investigate sufficient conditions for the existence of a Hopf bifurcation of the model. Our results are applied to represent conditions for an occurrence of business cycles, which can happen in many business situations. Finally, some numerical simulations are illustrated to support our theoretical results.
关键词：Business Cycle;Stability Analysis;Hopf Bifurcation;Time Delay