We investigate an optimal control problem for a hierarchical size-structured population model, which incorporates the inoculation delay into the globally feedbacked boundary condition. After the establishment of the continuity of the states with respect to the harvesting efforts, the existence of the optimal solutions is proved by a result in convex analysis, and the maximum principle is obtained via conjugate system and tangent-normal cones.

中文翻译：

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具有延迟的分层规模结构种群系统中最优收获的理论结果

我们研究了分层规模结构人口模型的最佳控制问题，该模型将接种延迟纳入全局反馈边界条件。在建立了关于收获努力的状态连续性之后，通过凸分析的结果证明了最优解的存在，并通过共轭系统和切法锥得到了极大原理。