AN OPTIMAL CONTROL TOOL FOR COVID-19

AN OPTIMAL CONTROL TOOL FOR COVID-19

See also the miror site: Justina Gianatti's page

Back to Frédéric Bonnans main page

Aim of the project

Provide a flexible, user-friendly tool for the optimal control of an epidemic.
Design of the model adapted to the COVID-19.
Software based on the Bocop optimal control toolbox.
Project started on March 20, 2020; this version 1 published on April 30, 2020.
As always, the value of the output depends in a critical way of the quality of data.
So, we expect that future versions could produce more accurate results, thanks to a more complete data set.

Main features

Two types of infected populations: non hospitalized and hospitalized ones.
In both cases, infection age allowing to take into account incubation and infections phases.
Control: confinement coefficient. Possibility of limitation of confinement duration.
Cost function: combination of confinement duration, hospital peak and death toll.

Download

J.F. Bonnans, J. Gianatti: Optimal control techniques based on infection age for the study of the COVID-19 epidemic .
Software tools.
Short slide presentation.

Data and References

Data and References

THREE ILLUSTRATIONS

Case 1: no confinement

Case 2: quasi periodic behavior

Case 1: long term behavior