Citation

Colombo RM, Garavello M. Math. Biosci. Eng. 2015; 12(2): 311-335.

Affiliation

INdAM Unit, University of Brescia, Brescia, Italy. rinaldo.colombo@unibs.it.

Copyright

(Copyright © 2015, American Institute of Mathematical Sciences)

DOI

unavailable

PMID

25811440

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.

Language: en