A biological resource is a population characterized by birth, aging and death, grown in order to produce a profit. The evolution of this system is described by a structured population model, modified to take into account the selection for reproduction or for the market. This selection is the control that has to be optimized in order to maximize the profit. First we prove the well posedness of the descriptive model. Then, the profit is shown to be Gâteaux differentiable with respect to the controls. Finally, we ensure that the maximal profit can be reached by means of Bang-Bang controls.
Colombo, R., & Garavello, M. (2017). Control of biological resources on graphs. ESAIM. COCV, 23(3), 1073-1097.
Citazione: | Colombo, R., & Garavello, M. (2017). Control of biological resources on graphs. ESAIM. COCV, 23(3), 1073-1097. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Control of biological resources on graphs |
Autori: | Colombo, R; Garavello, M |
Autori: | GARAVELLO, MAURO (Ultimo) |
Data di pubblicazione: | 2017 |
Lingua: | English |
Rivista: | ESAIM. COCV |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1051/cocv/2016027 |
Appare nelle tipologie: | 01 - Articolo su rivista |