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 [10.1051/cocv/2016027].

Control of biological resources on graphs

GARAVELLO, MAURO
Ultimo
2017

Abstract

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.
Articolo in rivista - Articolo scientifico
Conservation Laws; Management of biological resources; Optimal control problems; Structured population dynamics;
Conservation Laws; Optimal Control Problems; Management of Biological Resources; Structured Population Dynamics.
English
1073
1097
25
Colombo, R., Garavello, M. (2017). Control of biological resources on graphs. ESAIM. COCV, 23(3), 1073-1097 [10.1051/cocv/2016027].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/152373
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