具年龄结构的周期种群系统的最优生育率控制  

Optimal fertility rate control for a linear periodic age-dependent population system

作　　者：付军[1] 霍云霄 吴秀兰[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林师范大学学报（自然科学版）》2018年第1期54-60,共7页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金(11171060);吉林省教育厅十三五科技项目(2016211);吉林师范大学研究生创新项目(2015006)

摘　　要：讨论一类具有年龄结构的周期种群系统的最优生育率控制问题.运用偏微分方程的特征线理论和泛函分析方法,证明了该种群系统解的存在性及解对控制变量的连续相依性.利用Mazur's定理证明了最优生育率控制的存在性.This paper discussed a linear periodic problem of the optimal fertility rate control for a class of agedependent population system. The existence of the solution and the continuous dependence of the solution on the control variable was proved by the characteristic line theory in differential equations and functional analysis method. The existence of the optimal fertility rate control was also proved by the Mazur's theorem.

关 键 词：最优生育率控制 周期 年龄结构 连续相依性 

分 类 号：O175.8[理学—数学]