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Session S15 - Mathematics of Planet Earth

Wednesday, July 14, 16:00 ~ 16:25 UTC-3

Mathematical control models for the COVID-19 epidemic

Justina Gianatti

CIFASIS - CONICET - Universidad Nacional de Rosario, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this work we study control models for the COVID-19 epidemic. We start by analyzing a model that takes into account the infection age of the population. We introduced a confinement variable as control and by applying optimal control techniques we are able to evaluate some of the best confinement policies for this initial model. Afterwards,  we introduce a different compartmental model, which also includes undetected cases, and based on the data available so far, we calibrate the parameters involved. We end up adding a vaccination policy as a control variable to our model and show some numerical results referring to the evolution of the epidemic in Argentina.

Joint work with J. Frédéric Bonnans (INRIA-Saclay and CMAP, Ecole Polytechnique), Pablo A. Lotito (PLADEMA-UNCPBA-CONICET) and Lisando A. Parente (CIFASIS-CONICET-UNR).

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