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arXiv · 2509.04898

Equivalence by coupling for heterogeneous SIS models*

Jean-François Delmas·Dylan Dronnier·Pierre-André Zitt
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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.

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Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt. 2025-09-05. Equivalence by coupling for heterogeneous SIS models*. https://arxiv.org/abs/2509.04898

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