TY - JOUR PY - 2015// TI - Stability and optimization in structured population models on graphs JO - Mathematical biosciences and engineering A1 - Colombo, Rinaldo M. A1 - Garavello, Mauro SP - 311 EP - 335 VL - 12 IS - 2 N2 - 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

LA - en SN - 1547-1063 UR - http://dx.doi.org/ ID - ref1 ER -