【摘要】 建立了市场经济中供求关系的两类数学模型。根据商品数量的不同,对供给函数和需求函数的假设不同,建立了几个微分方程模型。研究了其中一个模型的Hopf分支问题,给出了均衡价格的局部稳定性条件和出现Hopf分支的条件更多还原

【Abstract】 Two classes of mathematical models are obtained. According to the number of commodities and their supply and demand the present paper constructs five differential equations and differential delay equation models. The Hopf bifurcation of one of the models is discussed. The conditions, under which the equilibrium is locally stable or Hopf bifurcation occurs, are given.更多还原