| Autor: |
Gaston Clément Nyassoke Titi, Jules Sadefo Kamdem, Louis Aimé Fono |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Results in Applied Mathematics, Vol 7, Iss , Pp 100125- (2020) |
| Druh dokumentu: |
article |
| ISSN: |
2590-0374 |
| DOI: |
10.1016/j.rinam.2020.100125 |
| Popis: |
In this paper, we study the problem of optimal fishing for regime switching in the growth dynamics of a given fish species which is described by the differential stochastic logistic model with two states: prior or during floods and after. The resulting dynamic programming principle leads to a system of two variational inequalities. By using viscosity solutions approach, we prove the existence and uniqueness of the value functions. Then numerical approximation of the obtained system is used to determine the optimal fishing effort for a sustainable fishery. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
