中文摘要：

本文考虑一类具有年龄结构的竞争种群系统的最优生育率控制问题.证明系统解关于控制变量的Lipschitz连续性,利用法锥性质,得到最优控制所满足的必要性条件.

英文摘要：

This paper is concerned with optimal birth control for a system representing a competitive population model with age structure. Using the concept of the normal cone,we obtain the necessary conditions for optimality for the optimal control problem. The Lipschitz continuous dependence of solution on control variable are investigated.