高校教育收费问题的微分方程模型与宏观调控分析

Differential equation models for educational charges of universities with analysis of macroscopical adjustment and control

摘要: 首先,依据"教育成本分担"的收费理论,在适当的假设下,提出了描述高校教育收费问题的2个基本微分方程模型;其次,通过对基本模型的定性分析,得出高校保持或者稳定其教育收费的几个条件;最后,通过对2个基本模型在3种情形下的几个特殊模型进行分析,给出关于高校教育收费和招生规模宏观调控的一些新的结论和建议.此外,还提出了3种扩展的微分方程模型.

Abstract: At first,according to the theory on sharing in the educational cost,two basic differential equation models are present for describing the educational charges of universities under appropriate assumptions.Then,by analyzing the two basic models qualitatively,several conditions are obtained for the universities to preserve and stabilize its charges.Finally,by analyzing several special models of the two basic models for the educational charges of universities in three cases,some new conclusions and suggestions are given for macroscopically adjusting and controlling the educational charges of universities and scale of recruit students.In addition,three extended differential equation models are also proposed.