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Optimal Control of Traveler Testing in Epidemic Models — arXiv:2609.25372

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.25372
License (as archived): CC0-1.0
Archived: 2026-10-08T15:53:15.728Z
SHA-256 of the archived text: 4da540317ce1de2e73cf2bdc5376a38eacd8c34f0cd17232ec21f93709a0d3a6
Stable URL of this page: https://metraipolis.com/documento/dc_66ea8ebf89c3

How to cite

Optimal Control of Traveler Testing in Epidemic Models — arXiv:2609.25372 — arXiv (en), https://arxiv.org/abs/2609.25372 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_66ea8ebf89c3 (Metraipolis archive dc_66ea8ebf89c3, sha256 4da540317ce1de2e73cf2bdc5376a38eacd8c34f0cd17232ec21f93709a0d3a6)

BibTeX

@misc{dc66ea8ebf89c3,
  title = {Optimal Control of Traveler Testing in Epidemic Models — arXiv:2609.25372},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.25372},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_66ea8ebf89c3; sha256 4da540317ce1de2e73cf2bdc5376a38eacd8c34f0cd17232ec21f93709a0d3a6},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.25372. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We propose an optimal control framework for mitigating cross-border epidemic spread through testing of incoming travelers. The general model considers multiple countries with SEIR dynamics, while the explicit analysis focuses on a simplified two country SIR system without vaccination. The control variable is a time measurable function representing the testing rate. For the two country SIR case, we show the optimal control is bang bang by excluding singular arcs via Hamiltonian analysis and derive the optimal switching time. Our results offer theoretical insights and practical guidelines for designing cost effective border testing policies. We then present numerical simulations for the optimal control in the two population setting.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-23 in math.OC).
Categorie arXiv: Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2609.25372 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T15:12:09.723Z dalla pagina https://arxiv.org/catchup/math.OC/2026-09-23?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).