IDEAS home Printed from https://ideas.repec.org/a/taf/mpopst/v23y2016i1p37-49.html
   My bibliography  Save this article

Reduced fertility and asymptotics of the logistic model

Author

Listed:
  • Daniel Maxin
  • Fabio Augusto Milner
  • Laurentiu Sega

Abstract

This logistic model includes three age groups. Juveniles do not reproduce, and old individuals reproduce at a lower rate. Pairings between individuals of different fertility rates may lead to multiple equilibria and bi-stability: the total population converges to different limits depending on its initial size. The behavior is correlated with transition rates from high to low fertility groups and with the frequency of pairing among the various groups of reproduction level. The proportions of adults at equilibrium are roots of a quartic polynomial, alternating sinks and saddles. Necessary and sufficient conditions for the existence of bi-stability are provided for a simplified model.

Suggested Citation

  • Daniel Maxin & Fabio Augusto Milner & Laurentiu Sega, 2016. "Reduced fertility and asymptotics of the logistic model," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(1), pages 37-49, January.
  • Handle: RePEc:taf:mpopst:v:23:y:2016:i:1:p:37-49
    DOI: 10.1080/08898480.2016.1117270
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/08898480.2016.1117270
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/08898480.2016.1117270?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.

    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:taf:mpopst:v:23:y:2016:i:1:p:37-49. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/GMPS20 .

    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.