摘要
讨论了时变种群系统最优生育率控制的非线性问题,证明了最优控制的存在性,得到了控制为最优的一阶必要条件.这些结果可为种群控制问题的实际研究提供数学理论基础.
The nonlinear problem for the ptimal birth control of the time - verying population system is discussed, the existence of the optimal control is proved. The first order necessary condition for a control to be optimal is obtained. These results may provide a mathemtical theoretical basis for the practical research of the control problem in populations.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2005年第4期1-6,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10471021)
关键词
时变种群系统
最优生育率控制
积分-偏微分方程
一阶必要条件
time- varying population system
optimal birth control
integro- partial differential equation
first order necessary condition
