Abstract
During a pandemic, there are conflicting demands that arise from public health and socioeconomic costs. Lockdowns are a common way of containing infections, but they adversely affect the economy. We study the question of how to minimize the socioeconomic damage of a lockdown while still containing infections. Our analysis is based on the SIR model, which we analyze using a clock set by the virus. This use of the “virus time” permits a clean mathematical formulation of our problem. We optimize the socioeconomic cost for a fixed health cost and arrive at a strategy for navigating the pandemic. This involves adjusting the level of lockdowns in a controlled manner so as to minimize the socioeconomic cost.
- Received 4 September 2020
- Accepted 4 January 2021
- Corrected 7 July 2021
DOI:https://doi.org/10.1103/PhysRevE.103.L010301
©2021 American Physical Society
Physics Subject Headings (PhySH)
Corrections
7 July 2021
Correction: The omission of a support statement in the Acknowledgments has been fixed.