研究一类捕食系统的最优收获问题, 食饵与捕食者种群内部具有年龄等级结构. 运用相对紧性和极值化序列方法证明了最优解的存在性, 通过构造适当的共轭系统并结合凸集的切锥法锥理论完成了最优策略刻画，给出了最优策略及种群密度的仿真方法和算例.

This article is concerned with an optimal harvesting problem for a system of hierarchical populations with predator-prey interaction. The existence of optimal solutions is established by relative compactness and maximizing sequences, and an adjoint system and tangent-normal cones are employed to describe the optimal policies. In addition, a numerical method and an example are presented.