IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/942038.html
   My bibliography  Save this article

On -Quadratic Stochastic Operators on Two-Dimensional Simplex and Their Behavior

Author

Listed:
  • Farrukh Mukhamedov
  • Mansoor Saburov
  • Izzat Qaralleh

Abstract

A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator theory is to study the behavior of operators. This problem was not fully finished even for quadratic stochastic operators which are the simplest nonlinear operators. To study this problem, several classes of QSO were investigated. We study -QSO defined on 2D simplex. We first classify -QSO into 20 nonconjugate classes. Further, we investigate the dynamics of three classes of such operators.

Suggested Citation

  • Farrukh Mukhamedov & Mansoor Saburov & Izzat Qaralleh, 2013. "On -Quadratic Stochastic Operators on Two-Dimensional Simplex and Their Behavior," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, November.
    • Handle: RePEc:hin:jnlaaa:942038
    DOI: 10.1155/2013/942038
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/942038.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/942038.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/942038?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M. Saburov & K. Saburov, 2016. "Reaching a consensus: a discrete nonlinear time-varying case," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2449-2457, July.

    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:942038. 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.