Equivalence by coupling for heterogeneous SIS models*
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912572133867520 |
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| author | Delmas, Jean-François Dronnier, Dylan Zitt, Pierre-André |
| author_facet | Delmas, Jean-François Dronnier, Dylan Zitt, Pierre-André |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence by coupling for heterogeneous SIS models* Delmas, Jean-François Dronnier, Dylan Zitt, Pierre-André Probability 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. |
| title | Equivalence by coupling for heterogeneous SIS models* |
| topic | Probability |
| url | https://arxiv.org/abs/2509.04898 |