商品市场价格竞争模型的动力学  

Dynamics of Price Competition Model in Commodity Market

作　　者：崔启敏[1] 徐德义[2] 

机构地区：[1]武汉理工大学外国语学院,武汉430070 [2]中国地质大学经济管理学院,武汉430074

出　　处：《武汉理工大学学报》2009年第24期157-159,共3页Journal of Wuhan University of Technology

摘　　要：价格模型是研究商品价格变化的一种重要方法。根据生态学原理和经济动力学性质提出了一个含时滞和扩散的价格竞争模型。在经济参数满足某些条件下,利用模型方程的上、下解和比较方法,论证了价格函数的存在性、可控性和有序性;通过不动点原则得到了周期价格的存在性;运用Liapunov函数证明了周期价格的稳定性。Price model is an important method to research the change of commodity price. According to the principle of biilogy and economic law, a price competition model with time lag and diffusion is proposed. Under the economic parameters which satisfy some conditions, the existence, controllability and orderliness of price function are investigated by using the upper and lower solutions of model equation and comparison technology. The existence and stability of periodic price are obtained through the fixed point principle and Liapunov＇s function respectively.

关 键 词：商品市场 市场价格 周期价格 稳定性 

分 类 号：F714[经济管理—产业经济]