We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial-boundary value problems for systems of balance laws. The particular choice of the boundary condition allows to comprehend models with very different structures. In particular, we consider a juvenile-adult model, the problem of the optimal mating ratio and a model for the optimal management of biological resources. The stability result obtained allows to tackle various optimal management/control problems, providing sufficient conditions for the existence of optimal choices/controls.

Colombo, R., Garavello, M. (2015). Stability and optimization in structured population models on graphs. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(2), 311-335 [10.3934/mbe.2015.12.311].

Stability and optimization in structured population models on graphs

GARAVELLO, MAURO
2015

Abstract

We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial-boundary value problems for systems of balance laws. The particular choice of the boundary condition allows to comprehend models with very different structures. In particular, we consider a juvenile-adult model, the problem of the optimal mating ratio and a model for the optimal management of biological resources. The stability result obtained allows to tackle various optimal management/control problems, providing sufficient conditions for the existence of optimal choices/controls.
Articolo in rivista - Articolo scientifico
Renewal equation, balance laws, juvenile-adult model, management of biological resources, optimal mating ratio
English
311
335
25
Colombo, R., Garavello, M. (2015). Stability and optimization in structured population models on graphs. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 12(2), 311-335 [10.3934/mbe.2015.12.311].
Colombo, R; Garavello, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/98408
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