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An integrated chance constraints approach for optimal vaccination strategies under uncertainty for COVID-19

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  • Gong, Jiangyue
  • Gujjula, Krishna Reddy
  • Ntaimo, Lewis

Abstract

Despite concerted efforts by health authorities worldwide to contain COVID-19, the SARS-CoV-2 virus has continued to spread and mutate into new variants with uncertain transmission characteristics. Therefore, there is a need for new data-driven models for determining optimal vaccination strategies that adapt to the new variants with their uncertain transmission characteristics. Motivated by this challenge, we derive an integrated chance constraints stochastic programming (ICC-SP) approach for finding vaccination strategies for epidemics that incorporates population demographics for any region of the world, uncertain disease transmission and vaccine efficacy. An optimal vaccination strategy specifies the proportion of individuals in a given household-type to vaccinate to bring the reproduction number to below one. The ICC-SP approach provides a quantitative method that allows to bound the expected excess of the reproduction number above one by an acceptable amount according to the decision-maker’s level of risk. This new methodology involves a multi-community household based epidemiology model that uses census demographics data, vaccination status, age-related heterogeneity in disease susceptibility and infectivity, virus variants, and vaccine efficacy. The new methodology was tested on real data for seven neighboring counties in the United States state of Texas. The results are promising and show, among other findings, that vaccination strategies for controlling an outbreak should prioritize vaccinating certain household sizes as well as age groups with relatively high combined susceptibility and infectivity.

Suggested Citation

  • Gong, Jiangyue & Gujjula, Krishna Reddy & Ntaimo, Lewis, 2023. "An integrated chance constraints approach for optimal vaccination strategies under uncertainty for COVID-19," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
  • Handle: RePEc:eee:soceps:v:87:y:2023:i:pa:s0038012123000472
    DOI: 10.1016/j.seps.2023.101547
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    References listed on IDEAS

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    1. Verikios, George, 2020. "The dynamic effects of infectious disease outbreaks: the case of pandemic influenza and human coronavirus," MPRA Paper 104434, University Library of Munich, Germany.
    2. Savachkin, Alex & Uribe, Andrés, 2012. "Dynamic redistribution of mitigation resources during influenza pandemics," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 33-45.
    3. Willem Klein Haneveld & Matthijs Streutker & Maarten Vlerk, 2010. "An ALM model for pension funds using integrated chance constraints," Annals of Operations Research, Springer, vol. 177(1), pages 47-62, June.
    4. Willem Haneveld & Maarten Vlerk, 2006. "Integrated Chance Constraints: Reduced Forms and an Algorithm," Computational Management Science, Springer, vol. 3(4), pages 245-269, September.
    5. J. A. P. Heesterbeek & K. Dietz, 1996. "The concept of Ro in epidemic theory," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 50(1), pages 89-110, March.
    6. Naimoli, Antonio, 2022. "Modelling the persistence of Covid-19 positivity rate in Italy," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    7. A. Charnes & W. W. Cooper, 1963. "Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints," Operations Research, INFORMS, vol. 11(1), pages 18-39, February.
    8. Fuminari Miura & Ka Yin Leung & Don Klinkenberg & Kylie E C Ainslie & Jacco Wallinga, 2021. "Optimal vaccine allocation for COVID-19 in the Netherlands: A data-driven prioritization," PLOS Computational Biology, Public Library of Science, vol. 17(12), pages 1-13, December.
    9. Isabella Locatelli & Bastien Trächsel & Valentin Rousson, 2021. "Estimating the basic reproduction number for COVID-19 in Western Europe," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-9, March.
    10. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    11. Nikolaos P. Rachaniotis & Thomas K. Dasaklis & Filippos Fotopoulos & Platon Tinios, 2021. "A Two-Phase Stochastic Dynamic Model for COVID-19 Mid-Term Policy Recommendations in Greece: A Pathway towards Mass Vaccination," IJERPH, MDPI, vol. 18(5), pages 1-21, March.
    12. Hideo Tanaka & Atsushi Hirayama & Hitomi Nagai & Chika Shirai & Yuki Takahashi & Hiroto Shinomiya & Chie Taniguchi & Tsuyoshi Ogata, 2021. "Increased Transmissibility of the SARS-CoV-2 Alpha Variant in a Japanese Population," IJERPH, MDPI, vol. 18(15), pages 1-6, July.
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