Discrete Time Optimal Harvesting of Fish Populations with Age Structure
| Autor: | Wandi Dine, Suzanne Lenhart, Horst Behncke |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Letters in Biomathematics, Vol 1, Iss 2, Pp 193-207 (2014) |
| Druh dokumentu: | article |
| ISSN: | 2373-7867 23737867 |
| DOI: | 10.1080/23737867.2014.11414480 |
| Popis: | We consider an optimal fishery harvesting problem using an age-structured population model with nonlinear recruitment. The motivating example is Atlantic Cod. The goal is to maximize the profit (total gain) of fishing. We seek to find the optimal harvesting strategy for each age class, but also to find the optimal net size. Using the extension of Pontryagin’s Maximum Principle to discrete systems, we are able to derive the necessary conditions and the characterizations for the optimal harvesting strategies. Numerical simulations for both Beverton-Holt and Ricker recruitment functions are provided. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|