26-28 Jun 2019 Bordeaux (France)
Optimal Vaccination Schedules in Large SIR Systems from a Central and an Agent's Perspective.
Bruno Gaujal  1@  , Josu Doncel  2  , Nicolas Gast  3  
1 : Inria Grenoble Alpes
L'Institut National de Recherche en Informatique et e n Automatique (INRIA)
2 : University of the Basque Country
3 : Inria
L'Institut National de Recherche en Informatique et e n Automatique (INRIA)

In this talk, we investigate a large SIR system (Susceptible, Infected, Recovered) where agents can vaccinate. We show that this system admits a unique stable vaccination schedule for each agent: vaccinate at full rate until some point in time when vaccination is no longer desirable. We also prove that the vaccination strategy minimizing the total cost for the population is a similar scheduling policy, but with a different stopping time. To encourage individual optimal vaccination behaviors that lead to the common good, vaccination should be subsidized to compensate for the gap between the two stopping times.



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