104 citations · 414 across the 30 of their papers we have counts for
3 papers · 1 filter
Vaccinating according to the maximal endemic equilibrium achieves herd immunity
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the simple epidemiological SIS model for a general heterogeneous population introduced by Lajmanovich and Yorke (1976) in finite dimension, and its infinite dimensional…
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…
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…