IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/164504.html
   My bibliography  Save this article

Bifurcation Analysis in Population Genetics Model with Partial Selfing

Author

Listed:
  • Yingying Jiang
  • Wendi Wang

Abstract

A new model which allows both the effect of partial selfing selection and an exponential function of the expected payoff is considered. This combines ideas from genetics and evolutionary game theory. The aim of this work is to study the effects of partial selfing selection on the discrete dynamics of population evolution. It is shown that the system undergoes period doubling bifurcation, saddle-node bifurcation, and Neimark-Sacker bifurcation by using center manifold theorem and bifurcation theory. Numerical simulations are presented not only to illustrate our results with the theoretical analysis, but also to exhibit the complex dynamical behaviors, such as the period-3, 6 orbits, cascade of period-doubling bifurcation in period-2, 4, 8, and the chaotic sets. These results reveal richer dynamics of the discrete model compared with the model in Tao et al., 1999. The analysis and results in this paper are interesting in mathematics and biology.

Suggested Citation

  • Yingying Jiang & Wendi Wang, 2013. "Bifurcation Analysis in Population Genetics Model with Partial Selfing," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:164504
    DOI: 10.1155/2013/164504
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/164504.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/164504.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/164504?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:hin:jnlaaa:164504. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.