Optimization in Structure Population Models through the Escalator Boxcar Train
Analysis of PDEs
2016-01-29 v1
Abstract
The Escalator Boxcar Train (EBT) is a tool widely used in the study of balance laws motivated by structure population dynamics. This paper proves that the approximate solutions defined through the EBT converge to exact solutions. Moreover, this method is rigorously shown to be effective also in computing optimal controls. As preliminary results, the well posedness of classes of PDEs and of ODEs comprising various biological models is also obtained. A specific application to welfare policies illustrates the whole procedure.
Keywords
Cite
@article{arxiv.1601.07870,
title = {Optimization in Structure Population Models through the Escalator Boxcar Train},
author = {Rinaldo M. Colombo and Piotr Gwiazda and Magdalena Rosinska},
journal= {arXiv preprint arXiv:1601.07870},
year = {2016}
}
Comments
25 pages