IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6643349.html
   My bibliography  Save this article

Extinction Moment for a Branching Tree Evolution with Birth Rate and Death Rate Both Depending on Age

Author

Listed:
  • Xi Hu
  • Yun-Zhi Yan
  • Zhong-Tuan Zheng
  • Hong-Yan Li
  • Hong-Yan Zhao

Abstract

In this paper, a branching tree evolution is established, in which the birth rate and the death rate are both dependent on node’s age. The extinction probability and the t-pre-extinction (extinct before time ) probability are studied, by which the distribution of the extinction moment can be given. The analytical formula and the approximation algorithm for the distribution of extinction moment are given; furthermore, the analytical formula and the approximation algorithm of extinction probability are given, and a necessary and sufficient condition of extinction with probability 1 is given. It is the first time to study the distribution of extinction time for the branching process with birth rate and the death rate both depending on node’s age, and the results will do great help in the theory of branching process. It is expected to be applied in the fields of biology, genetics, medicine, epidemiology, demography, nuclear physics, actuarial mathematics, algorithm, and data structures, etc.

Suggested Citation

  • Xi Hu & Yun-Zhi Yan & Zhong-Tuan Zheng & Hong-Yan Li & Hong-Yan Zhao, 2021. "Extinction Moment for a Branching Tree Evolution with Birth Rate and Death Rate Both Depending on Age," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, February.
    • Handle: RePEc:hin:jnlmpe:6643349
    DOI: 10.1155/2021/6643349
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/6643349.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/6643349.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6643349?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:jnlmpe:6643349. 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.