title: Stability and optimization in structured population models on graphs.
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.
authors: INdAM Unit, University of Brescia, Brescia, Italy. rinaldo.colombo@unibs.it.
authors: Rinaldo M
authors: RM
authors: Colombo
authors: Mauro
authors: M
authors: Garavello
mesh_terms: D000465:Algorithms; D000818:Animals; D005260:Female; D008297:Male; D008954:Models, Biological; D011157:Population Dynamics; D012098:Reproduction