Optimization in Structure Population Models through the Escalator Boxcar Train

2016/01/28 by Rinaldo M. Colombo, Colombo, Rinaldo M., Piotr Gwiazda +4
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Evolution and Genetic Dynamics #Mathematical and Theoretical Epidemiology and Ecology Models #math.AP

paper · pdf · doi:10.48550/arxiv.1601.07870

25 pages

arxiv created 2016/01/28 · arxiv updated 2016/01/29

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.

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