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Optimal Staged Reopening Schedule Based on ICU Capacity: A Model-Informed Strategy

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Mathematics of Public Health

Abstract

Reopening plans and strategies remain to be a top priority issue, post a pandemic wave, for economic recovery with a relatively safe community. We use a transmission dynamics model, parameterized through model fitting to cumulative incidence data during different social distancing escalation phases, to identify the optimal timing of reopening based on social-distancing de-escalation in a population. We use the Province of Ontario, Canada as a case study. The optimization is subject to the constraint that a future COVID-19 outbreak will not lead to the need of acute and intensive care unit beds beyond their local public health capacity. We minimize the cost, the total number of contacts lost until we reach a certain targeted date. We illustrate this optimization process by considering a particular de-escalation strategy that simply ‘reverses’ the escalation steps. We consider several scenarios depending on the number of de-escalation phases (characterized by an increase in the daily number of contacts), and different lengths of the period between a date when the cost is evaluated until a targeted data when the constraint is to be removed (for example, the anticipated date when a mass COVID-19 vaccination or an effective treatment becomes available) so that normal contacts prior to COVID-19 pandemic can be resumed. In the case of Ontario, we conclude that resuming 80% of pre-pandemic activity level should not happen 2 months before the vaccine/drug treatment becomes available. We also show that improving contact tracing and diagnosis capacity has a significant effect on the reopening date, whereas increasing ICU beds capacity has only a minor effect.

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References

  1. Crespo Márquez, A., & SIM Research Group. (2020). Understanding R-based planning decisions and control for COVID-19 recovery.

    Google Scholar 

  2. Kopecky, K., & Zha, T. (2020). Impacts of COVID-19: Mitigation Efforts versus Herd Immunity (No. 2020-3). Federal Reserve Bank of Atlanta.

    Google Scholar 

  3. Omer SB, Malani P, del Rio C. The COVID-19 Pandemic in the US: A Clinical Update. JAMA. 2020;323(18):1767–1768. doi:https://doi.org/10.1001/jama.2020.5788

    Article  Google Scholar 

  4. Agarwal, A., Alomar, A., Sarker, A., Shah, D., Shen, D., & Yang, C. (2020). Two Burning Questions on COVID-19: Did shutting down the economy help? Can we (partially) reopen the economy without risking the second wave?. arXiv preprint arXiv:2005.00072.

    Google Scholar 

  5. Dingel, Jonathan I. and Patterson, Christina and Vavra, Joseph, Childcare Obligations Will Constrain Many Workers When Reopening the US Economy (April 18, 2020). University of Chicago, Becker Friedman Institute for Economics Working Paper No. 2020-46. Available at SSRN: https://ssrn.com/abstract=3579711 or https://doi.org/10.2139/ssrn.3579711

  6. Osmar Pinto Neto, Josa Clark Reis, Ana Carolina Brisola Brizzi, Gustavo Jose Zambrano, Joabe Marcos de Souza, Wellington Pedroso E. Amorim, Rodrigo Cunha de Mello Pedreiro, Bruno de Matos Brizzi, Ellysson Oliveira Abinader, Deanna M. Kennedy, Renato A Zangaro, medRxiv 2020.04.26.20081208; doi: https://doi.org/10.1101/2020.04.26.20081208.

  7. Kraay, A. N. M., Nelson, K., Zhao, C., Weitz, J. S., & Lopman, B. A. (2020). Modeling serological testing to inform relaxation of social distancing for COVID-19 control. medRxiv.

    Google Scholar 

  8. Government of Ontario, 2020, A Framework for Reopening our Province. https://files.ontario.ca/mof-framework-for-reopening-our-province-en-2020-04-27.pdf

  9. Barrett, K., Khan, Y. A., Mac, S., Ximenes, R., Naimark, D. M., & Sander, B. (2020). Potential magnitude of COVID-19-induced healthcare resource depletion in Ontario, Canada. Canada (3/25/2020).

    Google Scholar 

  10. Tang et al, Quantifying the Role of Social Distancing, Personal Protection and Case Detection in Mitigating COVID-19 Outbreak in Ontario, Canada

    Google Scholar 

  11. Tang et al, De-escalation by Reversing the Escalation with a Stronger Synergistic Package of Contact Tracing, Quarantine, Isolation and Personal protection: Feasibility of Preventing a COVDI-19 Rebound in Ontario, Canada, as a Case Study, Biology

    Google Scholar 

  12. PHAC Corona Virus Disease 2019 (Covid-19) Daily Epidemiology Update (Updated: 11 May 2020, 11:00 ET)

    Google Scholar 

  13. Sanche S, Lin YT, Xu C et al., The novel coronavirus, 2019-nCoV, is highly contagious and more infectious than initially estimated. medRxiv 2020 Feb 11 [Epub ahead of print]. https://doi.org/10.1101/2020.02.07.20021154.

  14. Moghadas SM, Shoukat A, Fitzpatrick MC et al. Projecting hospital utilization during the COVID-19 outbreaks in the United States. Proc Natl Acad Sci U S A. 2020 Apr 3 [Epub ahead of print]. https://doi.org/10.1073/pnas.2004064117

  15. Shoukat A, Wells CR, Langley JM, Singer BH, Galvani AP, Moghadas SM. Projecting demand for critical care beds during COVID-19 outbreaks in Canada. CMAJ. 2020 Jan 1.

    Google Scholar 

  16. Tuite, A. R., Fisman, D. N., & Greer, A. L. (2020). Mathematical modelling of COVID-19 transmission and mitigation strategies in the population of Ontario, Canada. CMAJ.

    Google Scholar 

  17. Government of Ontario, Ontario Significantly Expands Hospital Capacity to Prepare for Any COVID-19 Outbreak Scenario, April 16, 2020, https://news.ontario.ca/opo/en/2020/04/ontario-significantly-expands-hospital-capacity-to-prepare-for-any-covid-19-outbreak-scenario.html (last access: May 19, 2020)

  18. B. Tang, F. Xia, N.L. Bragazzi, Z. McCarthy, X. Wang, S. He, X. Sun, S. Tang, Y. Xiao, J. Wu. Lessons drawn from China and South Korea for managing COVID-19 epidemic: insights from a comparative modeling study. Bull World Health Organ (2020) https://doi.org/10.2471/blt.20.257238.

  19. Prem K, Cook AR, Jit M. Projecting social contact matrices in 152 countries using contact surveys and demographic data. PLoS computational biology. 2017;13(9):e1005697.

    Article  Google Scholar 

  20. Mossong J, Hens N, Jit M, Beutels P, Auranen K, Mikolajczyk R, Massari M, Salmaso S, Tomba GS, Wallinga J, Heijne J. Social contacts and mixing patterns relevant to the spread of infectious diseases. PLoS medicine. 2008;5(3).

    Google Scholar 

  21. Government of Ontario, Ontario Enacts Declaration of Emergency to Protect the Public, https://news.ontario.ca/opo/en/2020/03/ontario-enacts-declaration-of-emergency-to-protect-the-public.html (Last access: May 23, 2020)

  22. Rawson, T., Brewer,T., Veltcheva, D., Huntingford, C., and Bonsall, M.B., 2020. How and when to end the COVID-19 lockdown: an optimisation approach, medRxiv https://doi.org/10.1101/2020.04.29.20084517.

  23. German, R., Djanatliev, A., Maile, L., Bazan, P. & Hackstein, H. Modeling Exit Strategies from COVID-19 Lockdown 431 with a Focus on Antibody Tests. medRxiv (2020).

    Google Scholar 

  24. Hethcote HW, Waltman P. Optimal vaccination schedules in a deterministic epidemic model. Mathematical Biosciences. 1973;18(3–4):365-81.

    Article  Google Scholar 

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Acknowledgements

This project has been funded by the CIHR 2019 Novel Coronavirus (COVID-19) rapid research program.

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Correspondence to Jianhong Wu .

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Nah, K. et al. (2022). Optimal Staged Reopening Schedule Based on ICU Capacity: A Model-Informed Strategy. In: Murty, V.K., Wu, J. (eds) Mathematics of Public Health. Fields Institute Communications, vol 85. Springer, Cham. https://doi.org/10.1007/978-3-030-85053-1_15

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