摘要
在这篇论文,我们为一个年龄依赖者调查最佳的政策 n 维的比赛系统,它被富饶控制。由使用 Dubovitskii-Milyutin 的一般理论,最大的原则与免费终端状态为这些问题被获得,无限的地平线,;分别地指向集合。
In this paper, we investigate optimal policies for an age-dependent n-dimensional competition system, which is controlled by fertility. By using Dubovitskii-Milyutin's general theory, the maximum principles are obtained for the problems with free terminal states, infinite horizon, and target sets, respectively.
基金
The work is supported by‘Qing Lan’Talent Engineering Funds(QL-05-1SA) by Lanzhou Jiaotong University
the National Natural Science Foundation of China under Grant No.604730304.
关键词
优化控制
种群模型
偏微分方程
最大原理
um Age-dependence, optimal control, population model, system of partial differential equations, the maximum principle.