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Session S15 - Mathematics of Planet Earth

Thursday, July 15, 16:00 ~ 16:25 UTC-3

Understanding and monitoring the evolution of the Covid-19 epidemic from medical emergency calls: the example of the Paris area

Marianne AKIAN

Piecewise linearity is established from a transport PDE epidemiological model, using methods from Perron–Frobenius theory and tropical geometry. In order to compute a piecewise linear approximation, we minimize the $\ell^1$ norm of the error. This is done using a dynamic programming approach. We provide metric estimates showing that this method is robust with respect to perturbations of epidemic observables.
The part on $\ell^1$ norm optimization is a joint work with Ayoub Foussoul, Jérôme Bolte, Stéphane Gaubert, and Laurent Massoulié.