104 citations · 414 across the 30 of their papers we have counts for
34 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…
Infinite dimensional metapopulation SIS model with generalized incidence rate
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
We consider an infinite-dimension SIS model introduced by Delmas, Dronnier and Zitt, with a more general incidence rate, and study its equilibria. Unsurprisingly, there exists at l…
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.
Atoms and associated spectral properties for positive operators on L^p
Jean-François Delmas, Kacem Lefki, Pierre-André Zitt
Inspired by Schwartz, Jang-Lewis and Victory, who study in particular generalizations of triangularizations of matrices to operators, we shall give for positive operators on Lebesg…