供求关系经济动力学模型研究  

Study on Economic Dynamic Model of Supply-demand Relationship

作　　者：肖龙[1] 周林华[1] 

机构地区：[1]长春理工大学理学院,长春130022

出　　处：《长春理工大学学报（自然科学版）》2013年第1期133-135,160,共4页Journal of Changchun University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金(NCET-08-0755)

摘　　要：本文基于常微分方程定性和稳定性理论,研究了刻画市场供求关系的经济模型。根据特征根在不同情况下的分类,分别对简单供求模型与带库存供求模型进行了定性和稳定性理论分析。最后,利用Matlab对各种模型全局稳定性给出了数值模拟,并对其实际意义展开了讨论和分析。Based on qualitative and stability theory of ordinary differential equations, the economic model describing supply-demand relationship in markets is studied. According to the classification of the characteristic roots, qualitative and stability theory analysis for simple supply-demand model and that with inventory is provided respectively. At last, we simulate the global stability of the models by Matlab, and give some discussion about the economic meaning of the results.

关 键 词：常微分方程 定性和稳定性理论 供求模型 带库存的供求模型 

分 类 号：TH164[机械工程—机械制造及自动化]