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Seminario di Matematica - 21 settembre 2016 ore 11:30

Nell'ambito delle attività del Seminario di Matematica, su proposta del Gruppo di ricerca “Un modello matematico per la morfogenesi tissutale unidimensionale”, responsabile locale il Prof. Mario Michele COCLITE, il  Prof. Mauro Garavello, dell'Università di Milano Bicocca, terrà presso il Dipartimento di Matematica dell'Università degli Studi di Bari Aldo Moro, la seguente conferenza:

Control problems for structured population dynamics

Mercoledì 21 Settembre 2016 alle ore 11.30 in aula VI

 

Abstract

Control problems for structured population dynamics

We introduce a model of structured population dynamics on a simple network. When the population under consideration consist of two stages, say juveniles developing into adults as in [1], it is natural to write a renewal equation for each of the two stages and couple them through a “nodal condition” analytically similar to those arising in road traffic or fluid dynamics in pipes. Models with similar structures arise when dealing with the demography of sexual reproduction or with the exploitation of biological resources. We are interested in control problems for similar structures. Here the control functions act as distribution matrices at the nodes. A well posedness result applicable to these situations is presented, see [2, 3]. Moreover we prove that the solution is differentiable with respect to the control. This work is done in collaboration with R. M. Colombo.

References

1.         A. S. Ackleh, K. Deng: A Nonautonomous Juvenile-Adult Model: Well- Posedness and Long-Time Behavior via a Comparison Principle. SIAM J. Appl. Math., 69, 6, 2009.

2.         R. M. Colombo, M. Garavello: Stability and Optimization in Structured Population Models on Graphs. Math. Biosci. Eng., 12 (no. 2) (2015), pp. 311-335.

3.         R. M. Colombo, M. Garavello: Optimal Control in Biological Resources Modeling, preprint 2015.

La S.V. è cordialmente invitata a partecipare.

Bari,  15.09.2016

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Pubblicato il: 15/09/2016  Ultima modifica: 22/03/2017