Several Differential Equation Models in Economic Systems

doi:10.7523/j.issn.2095-6134.2003.3.002

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›› 2003, Vol. 20 ›› Issue (3): 273-278.DOI: 10.7523/j.issn.2095-6134.2003.3.002

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Several Differential Equation Models in Economic Systems

LI Lin

Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102600, China

Received:2002-05-20 Revised:2002-07-15 Online:2003-05-10

Abstract

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.

Key words: differential equation models, equilibrium, stability, Hopf bifurcation

CLC Number:

O175

LI Lin. Several Differential Equation Models in Economic Systems[J]. , 2003, 20(3): 273-278.

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Several Differential Equation Models in Economic Systems

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