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OALib Journal期刊
ISSN: 2333-9721
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Optimal Harvesting for an Age-structured Predator-prey System
具有年龄结构的捕食种群系统的最优收获策略

Keywords: Predator-prey system,optimal control,age-structure,maximum principle
捕食系统
,最优控制,年龄结构,最大值原理

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Abstract:

This work analyzes the optimal harvesting of an age-based predator-prey system. Existence and uniqueness of non-negative solutions to the system and the continuous dependence of solution on control variable are proved. Existence of the optimal policy is discussed, and the optimality conditions are derived by means of normal cone and Dubovitskii-Milyutin theorem.

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