| 间接干预的物价的微分方程模型 |
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| 引用本文： | 王进良,和静.间接干预的物价的微分方程模型[J].洛阳师范学院学报,2011,30(8):1-4. |
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| 作者姓名： | 王进良 和静 |
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| 作者单位： | 北京航空航天大学数学与系统科学学院&数学信息与行为教育部重点实验室,北京,100191 |
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| 基金项目： | 国家自然基金，中央高校基本科研业务费专项资金 |
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| 摘 要： | 在已有物价模型的基础上,结合中国特殊的不成熟的市场经济环境,对原模型进行修改和补充,把货币供给量对物价的影响加进去形成了新的间接干预物价的微分方程模型.首先利用非线性微分方程相关理论讨论了模型的稳定性和分支等数学特征,然后通过数值模拟进一步分析验证,最后介绍了模型结果在经济意义下对物价分析的解释和应用.
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| 关 键 词： | 物价 间接干预 非线性微分方程 稳定性 分支 |
The Differential Equation Model of Prices with Indirect Intervention |
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| WANG Jin-liang,HE Jing.The Differential Equation Model of Prices with Indirect Intervention[J].Journal of Luoyang Teachers College,2011,30(8):1-4. |
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| Authors: | WANG Jin-liang HE Jing |
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| Institution: | (School of Mathematics and Systems Science,Beijing University of Aeronautics and Astronautics,Beijing 100191,China) |
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| Abstract: | On the basis of existing model of prices and combining with special immature market economy environment of China, this research modifies the original model, namely, add the influence of money supply on price and form a new differential equation model of price with indirect intervention. Firstly, this paper discusses the model＇ s stability and bifurcations using the theory related with nonlinear differential equations, and then further analyzes the model by numerical simulation, at last, the paper introduces interpretation and application of the results of this model in the economic meaning of price. |
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| Keywords: | price indirect intervention nonlinear differential equation stability bifurcation |
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