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Control Problems in Individuals-Population Interactions

Giovedi' 26 aprile 2012 - Nikolay Pogodaev

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Giovedi` 26 aprile 2012 alle ore 12:15 in Sala Riunioni VII piano, Nikolay Pogodaev (Universita' di Brescia) terra' un seminario dal titolo "Control Problems in Individuals-Population Interactions".

-Abstract
This seminar is devoted to a model for individuals-population interactions based on differential inclusions. Within this framework, we consider new control problems where the state to be controlled is a set. In particular, we aim at confining the region occupied by the population. Rigorous results about finite/infinite time confinement and impossibility of confinement are presented. A wide variety of analytical tools are exploited: from quasidifferential equations in metric space to measure theory, from non-smooth analysis to classical o.d.e. techniques. Finally, numerical integrations of sample situations are used to illustrate further open problems.

Rif. int. M. Bardi, C. Marchi, G. Colombo

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