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A Heuristic Approach for Determining Efficient Vaccination Plans under a SARS-CoV-2 Epidemic Model

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  • Claudia Hazard-Valdés

    (Departamento de Informática, Universidad Técnica Federico Santa María, Santiago 8940000, Chile)

  • Elizabeth Montero

    (Facultad de Ingeniería, Universidad Andres Bello, Viña del Mar 2531015, Chile)

Abstract

In this work, we propose a local search-based strategy to determine high-quality allocation of vaccines under restricted budgets and time periods. For this, disease spread is modeled as a SEAIR pandemic model. Subgroups are used to understand and evaluate movement restrictions and their effect on interactions between geographical divisions. A tabu search heuristic method is used to determine the number of vaccines and the groups to allocate them in each time period, minimizing the maximum number of infected people at the same time and the total infected population. Available data for COVID-19 daily cases was used to adjust the parameters of the SEAIR models in four study cases: Austria, Belgium, Denmark, and Chile. From these, we can analyze how different vaccination schemes are more beneficial for the population as a whole based on different reproduction numbers, interaction levels, and the availability of resources in each study case. Moreover, from these experiments, a strong relationship between the defined objectives is noticed.

Suggested Citation

  • Claudia Hazard-Valdés & Elizabeth Montero, 2023. "A Heuristic Approach for Determining Efficient Vaccination Plans under a SARS-CoV-2 Epidemic Model," Mathematics, MDPI, vol. 11(4), pages 1-32, February.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:834-:d:1059919
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    References listed on IDEAS

    as
    1. Joshua R. Goldstein & Thomas Cassidy & Kenneth W. Wachter, 2021. "Vaccinating the oldest against COVID-19 saves both the most lives and most years of life," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 118(11), pages 2026322118-, March.
    2. Enayati, Shakiba & Özaltın, Osman Y., 2020. "Optimal influenza vaccine distribution with equity," European Journal of Operational Research, Elsevier, vol. 283(2), pages 714-725.
    3. Costa-Font, Joan & Vilaplana-Prieto, Cristina, 2022. "Risky restrictions? Mobility restriction effects on risk awareness and anxiety," Health Policy, Elsevier, vol. 126(11), pages 1090-1102.
    4. Maltz, Alberto & Fabricius, Gabriel, 2016. "SIR model with local and global infective contacts: A deterministic approach and applications," Theoretical Population Biology, Elsevier, vol. 112(C), pages 70-79.
    5. Fabricius, Gabriel & Maltz, Alberto, 2020. "Exploring the threshold of epidemic spreading for a stochastic SIR model with local and global contacts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    6. Fu, Libi & Song, Weiguo & Lv, Wei & Lo, Siuming, 2014. "Simulation of emotional contagion using modified SIR model: A cellular automaton approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 380-391.
    7. Volchenkov, D & Blanchard, Ph, 2002. "An algorithm generating random graphs with power law degree distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(3), pages 677-690.
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