Mathematical Biosciences and Engineering (Nov 2021)

Optimal strategic pandemic control: human mobility and travel restriction

  • Wentao Hu,
  • Yufeng Shi,
  • Cuixia Chen,
  • Ze Chen

DOI
https://doi.org/10.3934/mbe.2021468
Journal volume & issue
Vol. 18, no. 6
pp. 9525 – 9562

Abstract

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This paper presents a model for finding optimal pandemic control policy considering cross-region human mobility. We extend the baseline susceptible-infectious-recovered (SIR) epidemiology model by including the net human mobility from a severely-impacted region to a mildly-affected region. The strategic optimal mitigation policy combining testing and lockdown in each region is then obtained with the goal of minimizing economic cost under the constraint of limited resources. We parametrize the model using the data of the COVID-19 pandemic and show that the optimal response strategy and mitigation outcome greatly rely on the mitigation duration, available resources, and cross-region human mobility. Furthermore, we discuss the economic impact of travel restriction policies through a quantitative analysis.

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