含有教育和科技进步因素的经济模型  

Economic Model with Education and Technological Progress

作　　者：王珊[1] 王锋[1] WANG Shan;WANG Feng(Department of Mathematics, Pingxiang University, Pingxiang 337000, Jiangxi China)

机构地区：[1]萍乡学院数学系,江西萍乡337000

出　　处：《吉首大学学报（自然科学版）》2020年第4期22-27,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：江西省教育科学“十三五”规划重点课题(17ZD065);萍乡学院青年科研基金项目(2018D0224)。

摘　　要：为了研究科技进步与经济发展的关系,构建了一个改进的含有教育和科技进步的经济模型.基于一定的假设,建立了一个非自治微分动力系统,并通过变换将其转为自治微分动力系统;利用稳定性理论得出自治系统稳定的一个充分条件,数值模拟实验验证了系统的稳定性;给出了经济、教育等变量的增长率,表明科技进步和教育对经济增长都具有重要的意义.In order to study the relationship between technological progress and economic development,an improved economic model with education and technological progress is constructed.A non-autonomous differential dynamic system is established and transformed into an autonomous differential dynamic system.A sufficient condition for the stability of autonomous system is obtained by using the stability theory.The growth rates of economic and educational variables are calculated,and the numerical simulations are given to verify the stability of the system.The results show that technological progress and education are of great significance to economic growth.

关 键 词：教育 科技进步 经济增长 动力系统 

分 类 号：F224[经济管理—国民经济] O193[理学—数学]