基于时滞和年龄结构的种群系统的最优生育率控制  

Optimal Fertility Rate Control for a Class of Population Systems with Time Delay and Age Distribution

作　　者：甄洁[1] 赵春[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《信阳师范学院学报（自然科学版）》2014年第2期157-161,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(60972089);天津师范大学博士科研启动基金项目(5RL047)

摘　　要：研究了一类基于时滞和年龄分布的种群系统的最优生育率控制问题.应用Masur定理证明了最优生育率控制的存在唯一性,并通过对共轭系统的分析给出了系统生育率控制为最优的必要性条件.An optimal fertility rate control problem for a class of population models with time delay and age distri- bution was investigated. The existence and uniqueness of optimal fertility rate control were proved by means of Mazur＇ s theorem. By a detailed analysis for the adjoint system, the necessary condition for a control to be optimal and its opti- mality systems determining optimal controls were obtained.

关 键 词：种群模型 时滞 年龄相关 最优生育率控制 

分 类 号：O175.1[理学—数学]