3 papers
math.PR2025
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…
q-bio.PE2025
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…
math.OC2025
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…