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) |