文章基本信息

标题：Dynamical Models For Prices With Distributed Delays
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作者：Gabriela Mircea ; Mihaela Neamţu ; Laura Mariana Cismaş 等
期刊名称：Timisoara Journal of Economics and Business
电子版ISSN：2286-0991
出版年度：2015
卷号：8
期号：1
页码：91-102
DOI：10.1515/tjeb-2015-0010
语种：English
出版社：Walter de Gruyter GmbH
摘要：In the present paper we study some models for the price dynamics of a single commodity market. The quantities of supplied and demanded are regarded as a function of time. Nonlinearities in both supply and demand functions are considered. The inventory and the level of inventory are taken into consideration. Due to the fact that the consumer behavior affects commodity demand, and the behavior is influenced not only by the instantaneous price, but also by the weighted past prices, the distributed time delay is introduced. The following kernels are taken into consideration: demand price weak kernel and demand price Dirac kernel. Only one positive equilibrium point is found and its stability analysis is presented. When the demand price kernel is weak, under some conditions of the parameters, the equilibrium point is locally asymptotically stable. When the demand price kernel is Dirac, the existence of the local oscillations is investigated. A change in local stability of the equilibrium point, from stable to unstable, implies a Hopf bifurcation. A family of periodic orbits bifurcates from the positive equilibrium point when the time delay passes through a critical value. The last part contains some numerical simulations to illustrate the effectiveness of our results and conclusions.
关键词：delay differential equations ; delayed economic models ; local stability ; price dynamics ; Hopf bifurcation ; C61 ; C62 ; D24 ; D50