Optimal harvesting of continuous age structured populations Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6t053k13n

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  • We investigate the optimal harvesting strategies for McKendrick type population models. Models of this type endow the population with a continuous age structure. They consist of a partial differential equation with a boundary condition which involves an integral of the solution. We study two problems, the first concerns the yield on an infinite time interval of a linear model. It is shown that an optimal policy exists, and that it consists of harvesting at no more than three specific ages. The optimal harvesting ages are dependent on the birth and death rates, and the economic parameters of the problem. The goal of the second problem is to find the harvesting policy that maximizes the sustainable yield of a nonlinear model. It is shown that a maximal sustainable yield exists, and is accomplished by harvesting at only two ages.
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