摘要
本文讨论了一类时变种群扩散系统最优生育率控制的非线性问题,证明了最优生育率控制的存在性,给出了控制为最优的必要条件及其最优性组.本结果可为种群扩散系统最优控制问题的实际研究提供物理论基础.
This paper discusses a non-linear problem of the fertility rate control for a class of time-varying population system with diffusion, proves the existence of the optimal fertility rate control, gives the necessary condition for a control to be optimal and its optimality system. These results provide a theretical basis for the pratical study of the optimal control problem in time-varying population system with diffusion.
出处
《应用数学学报》
CSCD
北大核心
2002年第4期626-641,共16页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10071012号)资助项目
关键词
时变种群扩散系统
积分-偏微分方程
最优生育率控制
非线性问题
必要条件
最优性组
Time-varying population system with diffusion, integro-parital diferential equation, nonlinear problem, optimal fertility rate control, necessary condition, optimality system
