IDEAS home Printed from https://ideas.repec.org/a/bla/ijethy/v21y2025i3p316-342.html
   My bibliography  Save this article

Infectious disease and endogenous cycles: Lockdown hits two birds with one stone

Author

Listed:
  • David Desmarchelier
  • Magali Jaoul‐Grammare
  • Guillaume Morel
  • Thi K. C. Pham

Abstract

This paper develops a competitive Ramsey–Cass–Koopmans framework in which an infectious disease is considered. A lockdown is introduced to control the disease spread. Considering the dynamics, a stable limit cycle can emerge near the endemic steady‐state, through a Hopf bifurcation, when the share of infectives increases sufficiently the marginal utility of consumption. Particularly, we prove that it is possible to tune the lockdown to simultaneously obtain the limit cycle disappearance and the disease eradication (Bogdanov–Takens bifurcation). In this sense, the lockdown allows hitting two birds with one stone.

Suggested Citation

  • David Desmarchelier & Magali Jaoul‐Grammare & Guillaume Morel & Thi K. C. Pham, 2025. "Infectious disease and endogenous cycles: Lockdown hits two birds with one stone," International Journal of Economic Theory, The International Society for Economic Theory, vol. 21(3), pages 316-342, September.
    • Handle: RePEc:bla:ijethy:v:21:y:2025:i:3:p:316-342
    DOI: 10.1111/ijet.70001
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/ijet.70001
    Download Restriction: no
    File URL: https://libkey.io/10.1111/ijet.70001?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
    ---><---

    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:bla:ijethy:v:21:y:2025:i:3:p:316-342. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355 .

    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.