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Differential equation model in market economy. (Chinese. English summary) Zbl 1399.34118

Summary: In this paper we mainly study a class of Kaldor-Kalecki economic cycle models of ordinary differential equations. Taking the speed of commodity markets as a bifurcation parameter, by analyzing the characteristic equation, we get some sufficient conditions which guarantee the local stability and under which Hopf bifurcation can occur. At last, through numerical simulation we illustrate our conclusion.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34D20 Stability of solutions to ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
91B55 Economic dynamics
91B64 Macroeconomic theory (monetary models, models of taxation)