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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Controllability in Lotka-Volterra competitive systems with constrained controls

Elisa Affili
Université de Rouen
https://sites.google.com/view/elisa-affili-en/home

Date(s) : 24/09/2024   iCal
11h00 - 12h00

We are interested in controlling the asymptotic behaviour of two competing species in an
interval by controlling the size of the populations at the boundary. In particular, we want to
know if it is possible to eradicate one of the species. Since the boundary controls have to satisfy
positivity constraints, classic techniques in control theory cannot be applied. In this talk, we
will discuss non-controllability phenomena due to the presence of barrier solutions depending
on the length of the interval and the competition coefficients of the systems.

Emplacement
Saint-Charles - FRUMAM (2ème étage)

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