IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i4p834-d1059919.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/4/834/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/4/834/
    Download Restriction: no
    ---><---

    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. 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.
    6. 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).
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ni, Lei & Chen, Yu-wang & de Brujin, Oscar, 2021. "Towards understanding socially influenced vaccination decision making: An integrated model of multiple criteria belief modelling and social network analysis," European Journal of Operational Research, Elsevier, vol. 293(1), pages 276-289.
    2. Lu, Xuefei & Borgonovo, Emanuele, 2023. "Global sensitivity analysis in epidemiological modeling," European Journal of Operational Research, Elsevier, vol. 304(1), pages 9-24.
    3. Sengul Orgut, Irem & Freeman, Nickolas & Lewis, Dwight & Parton, Jason, 2023. "Equitable and effective vaccine access considering vaccine hesitancy and capacity constraints," Omega, Elsevier, vol. 120(C).
    4. Matthew Goodkin-Gold & Michael Kremer & Christopher M. Snyder & Heidi L. Williams, 2020. "Optimal Vaccine Subsidies for Endemic and Epidemic Diseases," Working Papers 2020-162, Becker Friedman Institute for Research In Economics.
    5. Jeong, Darae & Lee, Chang Hyeong & Choi, Yongho & Kim, Junseok, 2016. "The daily computed weighted averaging basic reproduction number R0,k,ωn for MERS-CoV in South Korea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 190-197.
    6. Satoh, Daisuke & Uchida, Masato, 2021. "Riccati equation as topology-based model of computer worms and discrete SIR model with constant infectious period," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    7. Zhang, Jianghua & Long, Daniel Zhuoyu & Li, Yuchen, 2023. "A reliable emergency logistics network for COVID-19 considering the uncertain time-varying demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 172(C).
    8. Jiang, Peng & Klemeš, Jiří Jaromír & Fan, Yee Van & Fu, Xiuju & Tan, Raymond R. & You, Siming & Foley, Aoife M., 2021. "Energy, environmental, economic and social equity (4E) pressures of COVID-19 vaccination mismanagement: A global perspective," Energy, Elsevier, vol. 235(C).
    9. Li, Xingli & Guo, Fang & Kuang, Hua & Zhou, Huaguo, 2017. "Effect of psychological tension on pedestrian counter flow via an extended cost potential field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 47-57.
    10. Chen, Ya & Zhang, Juping & Jin, Zhen, 2023. "Optimal control of an influenza model with mixed cross-infection by age group," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 206(C), pages 410-436.
    11. Juliano Marçal Lopes & Coralys Colon Morales & Michelle Alvarado & Vidal Augusto Z. C. Melo & Leonardo Batista Paiva & Eduardo Mario Dias & Panos M. Pardalos, 2022. "Optimization methods for large-scale vaccine supply chains: a rapid review," Annals of Operations Research, Springer, vol. 316(1), pages 699-721, September.
    12. Lin, Qi & Zhao, Qiuhong & Lev, Benjamin, 2022. "Influenza vaccine supply chain coordination under uncertain supply and demand," European Journal of Operational Research, Elsevier, vol. 297(3), pages 930-948.
    13. Lin Chen & Fengli Xu & Zhenyu Han & Kun Tang & Pan Hui & James Evans & Yong Li, 2022. "Strategic COVID-19 vaccine distribution can simultaneously elevate social utility and equity," Nature Human Behaviour, Nature, vol. 6(11), pages 1503-1514, November.
    14. Mohammadi, Mehrdad & Dehghan, Milad & Pirayesh, Amir & Dolgui, Alexandre, 2022. "Bi‐objective optimization of a stochastic resilient vaccine distribution network in the context of the COVID‐19 pandemic," Omega, Elsevier, vol. 113(C).
    15. Muhammad Umar Farooq & Amjad Hussain & Tariq Masood & Muhammad Salman Habib, 2021. "Supply Chain Operations Management in Pandemics: A State-of-the-Art Review Inspired by COVID-19," Sustainability, MDPI, vol. 13(5), pages 1-33, February.
    16. Wang, Guanning & Chen, Tao & Hu, Xiangmin & Zheng, Huijie & Jiang, Wenyu, 2022. "Wall-following searching or area coverage searching? Simulation study of the panic evacuation considering the guidance of a single rescuer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    17. Xiaoyang Ni & Haojie Zhou & Weiming Chen, 2020. "Addition of an Emotionally Stable Node in the SOSa-SPSa Model for Group Emotional Contagion of Panic in Public Health Emergency: Implications for Epidemic Emergency Responses," IJERPH, MDPI, vol. 17(14), pages 1-16, July.
    18. Alem, Douglas & Caunhye, Aakil M. & Moreno, Alfredo, 2022. "Revisiting Gini for equitable humanitarian logistics," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    19. Doménech-Carbó, Antonio & Doménech-Casasús, Clara, 2021. "The evolution of COVID-19: A discontinuous approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 568(C).
    20. Muckstadt, John A. & Klein, Michael G. & Jackson, Peter L. & Gougelet, Robert M. & Hupert, Nathaniel, 2023. "Efficient and effective large-scale vaccine distribution," International Journal of Production Economics, Elsevier, vol. 262(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:834-:d:1059919. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.