一类投资竞赛模型的稳定性分析

The stability analysis of a type of the investment and competition model

建立了多个同类企业的投资竞赛数学模型,运用稳定性理论,对系统不动点的稳定性做出分析,给出企业间投资保持均衡态势时参数的取值范围,并分析了其经济学意义.通过数据仿真验证了理论分析的正确性.

A multi-dimensional nonlinear dynamic model was estabhshod on the investment competition of enterprises. Stability theory was applied to analyze its equilibrium point. As a result, the range of parameters was found to keep their investment balance, and then its economics significance was given. The correctness of the theory was tested through simulation data.