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math.OC2022
The effective reproduction number: convexity, concavity and invariance
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
Motivated by the question of optimal vaccine allocation strategies in heterogeneous population for epidemic models, we study various properties of the \emph{effective reproduction…
math.OC2022
Optimal vaccinations: Cordons sanitaires, reducible population and optimal rays
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the bi-objective problem of allocating doses of a (perfect) vaccine to an infinite-dimensional metapopulation in order to minimize simultaneously the vaccination cost a…