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PreprintCC BY-NC-ND 4.0arXiv

Optimal Control of Traveler Testing in Epidemic Models

  • Maria Teresa Chiri
  • Christopher Denaro
  • Xiaoqian Gong
  • Benedetto Piccoli
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{chiri2026optimal,
  title = {{Optimal Control of Traveler Testing in Epidemic Models}},
  author = {Maria Teresa Chiri and Christopher Denaro and Xiaoqian Gong and Benedetto Piccoli},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25372},
  eprint = {2609.25372},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25372},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Optimal Control of Traveler Testing in Epidemic Models
AU  - Maria Teresa Chiri
AU  - Christopher Denaro
AU  - Xiaoqian Gong
AU  - Benedetto Piccoli
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25372
UR  - https://arxiv.org/abs/2609.25372
AB  - 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.
ER  -