具时滞微分方程形式的蛛网模型

摘要

在连续时间情形下蛛网模型的微分方程形式具有一定收敛性，但实际生活中蛛网模型中的市场价格和商品数量随时间的变化是具有时间滞后的。本文建立了商品数量函数和商品价格函数为具时滞的微分方程蛛网模型，讨论了解的收敛性条件，并运用该模型分析了房地产市场，提出了稳定房地产市场的对策。%The differential equation of the cobweb model has a certain convergence in the case of continuous time, but the market prices and commodity change has time-delay in real life of cobweb model. This paper established a time-delay defferential equation of the cobweb model based on the quantity and commodity price function, and which was applied the model to analyze the real estate market. Some coutermeasures for the stability of the real estate market were put forward.