摘要
在传统的价格模型基础上,根据蛛网理论,对较好形式的供给函数和需求函数,建立了一个特定的具时滞的价格微分方程模型,用标准的微分方程定性方法研究了模型的Hopf分支问题,给出了均衡价格的局部稳定性条件和Hopf分支存在条件.所建立的微分方程模型,更符合现实的经济环境,从而合理地解释了经济生活中的价格震荡现象,有助于对现实的经济环境进行分析.
Based on the traditional pricing mode, according to cobweb theory, the better form of supply function and demand function establishes a specific price with time delay differential equation model, using a standard differential equation qualitative method to study the model of the Hopf bifurcation problem, gives the equilibrium price of local stability conditions and Hopf branch condition. The established differential equation model is more in line with the actual economic environment to explain reasonably the economic life of the shock of price phenomenon, contribute to the analysis of the actual economic environment.
出处
《伊犁师范学院学报（自然科学版）》
2012年第4期8-12,共5页
Journal of Yili Normal University：Natural Science Edition
关键词
微分方程与动力系统
价格微分方程
平衡点
稳定性
HOPF分支
Differential equation and dynamical system
Differential equation model of price
Equilibrium
Stability
Hopf bifurcation
