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Control Problems in Structured Population Models

Rinaldo Colombo (Universitá di Brescia)

Abstract: Various structured population models lead to initial–boundary value problems for balance laws, often equipped with non-local boundary conditions. First, the present talks overviews recent results on the well posedness of such models. Different analytic environments are considered, i.e., measure spaces and sets of BV functions. In the latter case, examples are shown where a realistic modeling requires renewal equations to be set on graphs. Then, various control problems are stated and, where possible, an effective strategy to tackle them is proposed and pursued.
Joint works with: Mauro Garavello, (Universitá di Milano–Bicocca); Piotr Gwiazda (Polish Academy of Sciences); Magdalena Rosinka (University of Warsaw).
[1] Rinaldo M. Colombo, Mauro Garavello: Control of Biological Resources on Graphs. Preprint, 2015.
[2] Rinaldo M. Colombo, Mauro Garavello: Stability and Optimization in Structured Population Models on Graphs. Mathematical Biosciences and Engineering, 12, 2, 311-335, 2015.
[3] Rinaldo M. Colombo, Piotr Gwiazda, Magdalena Rosin ́ska: Optimization in Structure Population Models through the Escalator Boxcar Train. Preprint, 2016.