IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v32y2024i2d10.1007_s10100-023-00894-w.html
   My bibliography  Save this article

Modelling pandemic behavior with a network-SIRD approach

Author

Listed:
  • Mira Baude

    (University of Duisburg-Essen)

  • Alf Kimms

    (University of Duisburg-Essen)

Abstract

Due to the Corona pandemic, measures to control the spread of the virus are much debated in society. Different countries pursued different policy approaches to reduce the outbreak of the pandemic. This paper deals with the optimal selection of measures to control the outbreak of a pandemic. The focus is on the beginning of a pandemic, when no vaccines or medical supplies are available. To illustrate the different approaches taken by governments, we demonstrate some practical data. We formulate a mathematical program to minimize the economic damage caused by measures while simultaneously considering the humanitarian damage caused by infections. To consider the progress of the pandemic, our model is based on epidemiological multi-group-SIRD model. This model is looking at a bunch of districts and their contact rates with each other. In each district, the population is divided into subgroups. The measures restrict contacts between these subgroups and affect the pandemic process. In addition to the consideration of minimizing costs, a limited mortality rate is also considered. To illustrate the model, a small case study inspired by cities in Germany is presented.

Suggested Citation

  • Mira Baude & Alf Kimms, 2024. "Modelling pandemic behavior with a network-SIRD approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 521-541, June.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:2:d:10.1007_s10100-023-00894-w
    DOI: 10.1007/s10100-023-00894-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-023-00894-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10100-023-00894-w?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nafiseh Shamsi Gamchi & S. Ali Torabi & Fariborz Jolai, 2021. "A novel vehicle routing problem for vaccine distribution using SIR epidemic model," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 155-188, March.
    2. David Berger & Kyle Herkenhoff & Chengdai Huang & Simon Mongey, 2022. "Testing and Reopening in an SEIR Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 1-21, January.
    3. Fernández-Villaverde, Jesús & Jones, Charles I., 2022. "Estimating and simulating a SIRD Model of COVID-19 for many countries, states, and cities," Journal of Economic Dynamics and Control, Elsevier, vol. 140(C).
    4. Elizabeth Gibney, 2020. "Whose coronavirus strategy worked best? Scientists hunt most effective policies," Nature, Nature, vol. 581(7806), pages 15-16, May.
    5. Jonathan Caulkins & Dieter Grass & Gustav Feichtinger & Richard Hartl & Peter M Kort & Alexia Prskawetz & Andrea Seidl & Stefan Wrzaczek, 2020. "How long should the COVID-19 lockdown continue?," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-19, December.
    6. Saidi, Farzad & Alfaro, Laura & Faia, Ester & Lamersdorf, Nora, 2020. "Social Interactions in Pandemics: Fear, Altruism, and Reciprocity," CEPR Discussion Papers 14716, C.E.P.R. Discussion Papers.
    7. Yuguo Lin & Daqing Jiang, 2013. "Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. Oluwaseun Sharomi & Tufail Malik, 2017. "Optimal control in epidemiology," Annals of Operations Research, Springer, vol. 251(1), pages 55-71, April.
    9. John R. Birge & Ozan Candogan & Yiding Feng, 2022. "Controlling Epidemic Spread: Reducing Economic Losses with Targeted Closures," Management Science, INFORMS, vol. 68(5), pages 3175-3195, May.
    10. V. V. Chari & Rishabh Kirpalani & Christopher Phelan, 2021. "The Hammer and the Scalpel: On the Economics of Indiscriminate versus Targeted Isolation Policies during Pandemics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 1-14, October.
    11. Aspri, Andrea & Beretta, Elena & Gandolfi, Alberto & Wasmer, Etienne, 2021. "Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    12. Michael Freiberger & Dieter Grass & Michael Kuhn & Andrea Seidl & Stefan Wrzaczek, 2022. "Chasing up and locking down the virus: Optimal pandemic interventions within a network," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1182-1217, October.
    13. Robert Rowthorn & Jan Maciejowski, 2020. "A cost–benefit analysis of the COVID-19 disease," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 36(Supplemen), pages 38-55.
    14. Caulkins, Jonathan P. & Grass, Dieter & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Prskawetz, Alexia & Seidl, Andrea & Wrzaczek, Stefan, 2021. "The optimal lockdown intensity for COVID-19," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    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. Caulkins, J.P. & Grass, D. & Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Kuhn, M. & Prskawetz, A. & Sanchez-Romero, M. & Seidl, A. & Wrzaczek, S., 2023. "The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?," European Journal of Operational Research, Elsevier, vol. 311(1), pages 233-250.
    2. Gopal K. Basak & Chandramauli Chakraborty & Pranab Kumar Das, 2024. "In search of an optimal public policy in a pandemic: The question of lives versus livelihood," Journal of Economic Analysis, Anser Press, vol. 3(4), pages 23-48, December.
    3. Sewon Hur, 2023. "The Distributional Effects Of Covid‐19 And Optimal Mitigation Policies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 261-294, February.
    4. Grass, D. & Wrzaczek, S. & Caulkins, J.P. & Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Kuhn, M. & Prskawetz, A. & Sanchez-Romero, M. & Seidl, A., 2024. "Riding the waves from epidemic to endemic: Viral mutations, immunological change and policy responses," Theoretical Population Biology, Elsevier, vol. 156(C), pages 46-65.
    5. Shami, Labib & Lazebnik, Teddy, 2022. "Economic aspects of the detection of new strains in a multi-strain epidemiological–mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    6. Gopal K. Basak & Chandramauli Chakraborty & Pranab Kumar Das, 2021. "Optimal Lockdown Strategy in a Pandemic: An Exploratory Analysis for Covid-19," Papers 2109.02512, arXiv.org.
    7. Pablo D. Fajgelbaum & Amit Khandelwal & Wookun Kim & Cristiano Mantovani & Edouard Schaal, 2021. "Optimal Lockdown in a Commuting Network," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 503-522, December.
    8. Daron Acemoglu & Victor Chernozhukov & Iván Werning & Michael D. Whinston, 2021. "Optimal Targeted Lockdowns in a Multigroup SIR Model," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 487-502, December.
    9. Marina Azzimonti-Renzo & Alessandra Fogli & Fabrizio Perri & Mark Ponder, 2020. "Pandemic Control in ECON-EPI Networks," Staff Report 609, Federal Reserve Bank of Minneapolis.
    10. Pol Antràs & Stephen J. Redding & Esteban Rossi-Hansberg, 2023. "Globalization and Pandemics," American Economic Review, American Economic Association, vol. 113(4), pages 939-981, April.
    11. Yinon Bar-On & Tatiana Baron & Ofer Cornfeld & Eran Yashiv, 2023. "When to Lock, Not Whom: Managing Epidemics Using Time-Based Restrictions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 292-321, December.
    12. Attar, M. Aykut & Tekin-Koru, Ayça, 2022. "Latent social distancing: Identification, causes and consequences," Economic Systems, Elsevier, vol. 46(1).
    13. Fabien Prieur & Weihua Ruan & Benteng Zou, 2024. "Optimal lockdown and vaccination policies to contain the spread of a mutating infectious disease," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 75-126, February.
    14. Eichenbaum, Martin S. & Rebelo, Sergio & Trabandt, Mathias, 2022. "The macroeconomics of testing and quarantining," Journal of Economic Dynamics and Control, Elsevier, vol. 138(C).
    15. Yinon Bar-On & Tatiana Baron & Ofer Cornfeld & Eran Yashiv, 2023. "When to Lock, Not Whom: Managing Epidemics Using Time-Based Restrictions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 292-321, December.
    16. Michael Freiberger & Dieter Grass & Michael Kuhn & Andrea Seidl & Stefan Wrzaczek, 2022. "Chasing up and locking down the virus: Optimal pandemic interventions within a network," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 1182-1217, October.
    17. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk & Ríos-Rull, José-Víctor, 2023. "Health versus wealth: On the distributional effects of controlling a pandemic," Journal of Monetary Economics, Elsevier, vol. 140(C), pages 34-59.
    18. Glaeser, Edward L. & Gorback, Caitlin & Redding, Stephen J., 2022. "JUE Insight: How much does COVID-19 increase with mobility? Evidence from New York and four other U.S. cities," Journal of Urban Economics, Elsevier, vol. 127(C).
    19. Bisin, Alberto & Moro, Andrea, 2022. "JUE insight: Learning epidemiology by doing: The empirical implications of a Spatial-SIR model with behavioral responses," Journal of Urban Economics, Elsevier, vol. 127(C).
    20. Janiak, Alexandre & Machado, Caio & Turén, Javier, 2021. "Covid-19 contagion, economic activity and business reopening protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 264-284.

    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:spr:cejnor:v:32:y:2024:i:2:d:10.1007_s10100-023-00894-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.