Several Differential Equation Models in Economic Systems
Received date: 2002-05-20
Revised date: 2002-07-15
Online published: 2003-05-10
李林 . 经济系统中几个微分方程模型[J]. 中国科学院大学学报, 2003 , 20(3) : 273 -278 . DOI: 10.7523/j.issn.2095-6134.2003.3.002
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.
Key words： differential equation models; equilibrium; stability; Hopf bifurcation
[1] R G D 艾伦.数理经济学.北京:商务印书馆, 1988
[2] 梁东黎, 刘 东.微观经济学.南京:南京大学出版社, 1993
[3] J G Kemeny, J Laurie.Mathematical Models in the Social Science(中译本, 向宁节译).杭州:浙江人民出版社, 1988
[4] 潘吉勋, 张顺明.经济均衡的数学原理.吉林:吉林大学出版社, 1997
[5] 袁志刚.非瓦尔拉均衡理论及其在中国经济中的应用.上海:三联出版社, 上海人民出版社, 1997
[6] 李 林, 应益荣, 党新益.无穷远的意义方法和应用.西安:西北大学出版社, 1996
[7] 王树禾.微分方程模型与混沌.合肥:中国科学技术大学出版社, 1999
[8] J K Hale。Theory of functional differential equat ions.N Y:Springer-Verlagess, 1977
[9] 秦元勋, 刘永清, 王 联, 等.带有时滞的动力系统的运动稳定性.北京:科学出版社, 1989
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