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

作　　者：沈秀专[1] 宫响[1] 张淑华[2] 

机构地区：[1]青岛科技大学数理学院,山东青岛266061 [2]青岛科技大学教务处,山东青岛266061

出　　处：《高师理科学刊》2008年第3期30-32,共3页Journal of Science of Teachers＇College and University

摘　　要：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.

关 键 词：投资竞赛 均衡 稳定性 

分 类 号：N94[自然科学总论—系统科学] O29[理学—应用数学]