时变种群系统最优生育率控制的非线性问题  

Nonlinear problem for optimal birth control of time-verying population system

作　　者：姚秀玲[1] 陈任昭[1] 

机构地区：[1]东北师范大学数学与统计学院

出　　处：《东北师大学报（自然科学版）》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)

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.

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 

分 类 号：O231.4[理学—运筹学与控制论]