IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-030-23433-1_19.html
   My bibliography  Save this book chapter

Optimal Temporary Vaccination Strategies for Epidemic Outbreaks

In: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Author

Listed:
  • K. Muqbel

    (University of Szeged, Bolyai Institute)

  • A. Dénes

    (University of Szeged, Bolyai Institute)

  • G. Röst

    (University of Oxford, Radcliffe Observatory Quarter, Mathematical Institute)

Abstract

We propose temporary vaccination strategies in the SIR disease outbreak model, where vaccination starts when the infection level reaches a threshold, and continues until susceptibles drop below a level such that the number of infected hosts is decreasing without further intervention. Costs are assigned to vaccination and disease burden, and we investigate which one of this two parameter family of VUHIA (vaccinate until herd immunity achieved) strategies gives the minimal cost. When the cost of vaccination is very small compared to the cost of disease burden, the optimal strategy is to start vaccination as early as possible and as high rate as possible. When vaccination is very expensive, the minimal cost is attained without vaccination. However, when these costs are of similar magnitudes, we uncover some counter-intuitive phenomena, namely the total cost can be a non-monotone function of the vaccination rate and the threshold value. We also show that for different basic reproduction numbers, the corresponding optimal strategies can be very different.

Suggested Citation

  • K. Muqbel & A. Dénes & G. Röst, 2019. "Optimal Temporary Vaccination Strategies for Epidemic Outbreaks," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, pages 299-307, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23433-1_19
    DOI: 10.1007/978-3-030-23433-1_19
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    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:sprchp:978-3-030-23433-1_19. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.