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Physical Sciences and Mathematics Commons

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Other Applied Mathematics

University of Puget Sound

2013

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Full-Text Articles in Physical Sciences and Mathematics

Optimal Control For A Class Of Age Structured Dynamic Models, Ameneh Mccullough Jan 2013

Optimal Control For A Class Of Age Structured Dynamic Models, Ameneh Mccullough

Summer Research

The mathematical theory of optimal control plays an important role in natural resource conservation efforts. In many applications, the underlying models are simple and deterministic. While scalar models can be used effectively on many problems, age-structured models can provide a more nuanced modeling tool. However, the theory and application becomes more complicated in this setting. This work examines a class of age-structured dynamic models with potential applications to age-targeted harvesting, motivated by the case of Shearwater harvesting management. We tailored several pre-existing styles of models to our problem. The models are created, but further analysis needs to be done.