3 citations · 8 across the 10 of their papers we have counts for
11 papers
Equivalence by coupling for heterogeneous SIS models*
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the optimal allocation of (perfect) vaccine in an heterogeneous SIS model. Using a coupling approach, we explain how different models for the heterogeneity of the popul…
Topological Properties of the Effective Reproduction Number in an Heterogeneous SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
This present results lay the foundations for the study of the optimal allocation of vaccine in the simple epidemiological SIS model where one consider a very general heterogeneous…
Optimal Vaccination Strategies for an Heterogeneous SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We study in a general mathematical framework the optimal allocation of vaccine in an heterogeneous population. We cast the problem of optimal vaccination as a bi-objective minimiza…
Transformations preserving the effective spectral radius of a matrix
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We discuss transformations on matrices that preserve the effective spectrum and/or the effective spectral radius.
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…
Optimal vaccination: Various (counter) intuitive examples
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
In previous articles, we formalized the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-dimensional metapopulation model. The aim of the current pap…
Effective reproduction number: Convexity, invariance and cordons sanitaires
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the problem of optimal allocation strategies for a (perfect) vaccine in an infinite-metapopulation model (including SIS, SIR, SEIR,. . .), when the loss function is giv…
Targeted Vaccination Strategies for an Infinite-dimensional SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We formalize and study the problem of optimal allocation strategies for a (perfect) vaccine in the infinite-dimensional SIS model. The question may be viewed as a bi-objective mini…
An Infinite-Dimensional SIS Model
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
In this article, we introduce an infinite-dimensional deterministic SIS model which takes into account the heterogeneity of the infections and the social network among a large popu…