Equivalence by coupling for heterogeneous SIS models*
Probability
2025-09-08 v1
Abstract
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 population lead to the same Pareto frontier in the cost/loss valuation of the vaccinations strategies. This covers in particular the elementary continuous representation of discrete models and the measure preserving transformation which appears in graphon theory.
Keywords
Cite
@article{arxiv.2509.04898,
title = {Equivalence by coupling for heterogeneous SIS models*},
author = {Jean-François Delmas and Dylan Dronnier and Pierre-André Zitt},
journal= {arXiv preprint arXiv:2509.04898},
year = {2025}
}