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On Optimal Harvesting in Age-Structured Populationsстатья
- Авторы: Belyakov Anton O., Veliov Vladimir M.
- Сборник: Dynamic Perspectives on Managerial Decision Making: Essays in Honor of Richard F. Hartl
- Серия: Dynamic Modeling and Econometrics in Economics and Finance
- Том: 22
- Год издания: 2016
- Место издания: Springer International Publishing Cham
- Первая страница: 149
- Последняя страница: 166
- DOI: 10.1007/978-3-319-39120-5_9
- Аннотация: The problem of optimal harvesting (in a fish population as a benchmark) is stated within a model that takes into account the age-structure of the population. In contrast to models disregarding the age structure, it is shown that in case of selective harvesting mode (where only fish of certain sizes are harvested) the optimal harvesting effort may be periodic. It is also proved that the periodicity is caused by the selectivity of the harvesting. Mathematically, the model comprises an optimal control problem on infinite horizon for a McKendrick-type PDE with endogenous and non-local dynamics and boundary conditions.
- Добавил в систему: Беляков Антон Олегович