| Issue |
ESAIM: COCV
Volume 24, Number 1, January-March 2018
|
|
|---|---|---|
| Page(s) | 377 - 399 | |
| DOI | https://doi.org/10.1051/cocv/2017003 | |
| Published online | 19 January 2018 | |
Optimization in structure population models through the Escalator Boxcar Train★,★★,★★★
1
University of Brescia,
25121
Brescia,
BS, Italie
2
University of Warsaw,
00-927
Warszawa, Pologne
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Received:
8
January
2016
Revised:
7
November
2016
Accepted:
12
January
2017
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.
Mathematics Subject Classification: 65M75 / 35R06 / 92D25
Key words: Escalator boxcar train / structure population model
R.M.C. was partially supported by the 2015 GNAMPA project Balance Laws in the Modeling of Physical, Biological and Industrial Processes and by the CaRiPLo project 2013-0893.
The research of M.R. received funding from the National Science Centre, DEC-2012/05/E/ST1/02218.
The research of P.G. received funding from the National Science Centre, Poland, 2014/13/B/ST1/03094.
© EDP Sciences, SMAI 2018
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