Stability and Optimization in Structured Population Models on Graphs
Analysis of PDEs
2014-03-27 v1
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.
Cite
@article{arxiv.1403.6757,
title = {Stability and Optimization in Structured Population Models on Graphs},
author = {Mauro Garavello and Rinaldo M. Colombo},
journal= {arXiv preprint arXiv:1403.6757},
year = {2014}
}
Comments
22 pages, 7 figures