一类非线性非均衡蛛网模型的动态分析

A Kind of Nonlinear and Disequilibrium Cobweb Model and Its Dynamic Analysis

描述单商品市场价格波动的蛛网模型是动态经济分析中的经典模型 .文中对传统蛛网模型加以改进 ,建立一类需求函数为非线性函数、供给函数为线性函数、价格调节的非均衡蛛网模型 对该模型进行动态分析与稳定性分析 ,从而得到两个结论 一是模型不会出现 3以上周期运动和混沌现象 。

Cobweb model for describing fluctuation in the markct price of single commodity is classical model of dynamic economic analysis. By improving traditional cobwell model, a type of disequilibrium cobweb model for price adjustment is built, with demand function as nonlinear function and supply function as linear function; and dynamic analysis and stability analysis of this model are carried out. Thus two conclusions are obtained∶one conclusion is that the model will not exhibit more than three cyclic price movements and chaotic phenomenon; another conclusion is about the condition under which equilibrium price exists and the interval of its stability.