种群动态的最优节育

Optimal birth control of population dynamics.

作者信息

Chan W L, Guo B Z

出版信息

J Math Anal Appl. 1989 Nov;144(1):532-52. doi: 10.1016/0022-247x(89)90350-8.

Abstract

The authors studied optimal birth control policies for an age-structured population of McKendrick type which is a distributed parameter system involving 1st order partial differential equations with nonlocal bilinear boundary control. The functional analytic approach of Dubovitskii and Milyutin is adopted in the investigation. Maximum principles for problems with a free end condition and fixed final horizon are developed, and the time optimal control problems, the problem with target sets, and infinite planning horizon case are investigated.

摘要

作者研究了麦肯德里克型年龄结构人口的最优生育控制政策，该人口是一个涉及具有非局部双线性边界控制的一阶偏微分方程的分布参数系统。研究中采用了杜博维茨基和米柳京的泛函分析方法。推导了具有自由端条件和固定最终时间范围问题的最大值原理，并研究了时间最优控制问题、目标集问题和无限规划时间范围的情况。