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A class of controlled bisexual branching processes with mating depending on the number of progenitor couples

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  • Molina, Manuel
  • del Puerto, Inés M.
  • Ramos, Alfonso

Abstract

We introduce a class of bisexual branching processes where a control is achieved on the number of couples and the mating depends on the number of progenitor couples. We establish several probabilistic properties and some results about its extinction probability.

Suggested Citation

  • Molina, Manuel & del Puerto, Inés M. & Ramos, Alfonso, 2007. "A class of controlled bisexual branching processes with mating depending on the number of progenitor couples," Statistics & Probability Letters, Elsevier, vol. 77(18), pages 1737-1743, December.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:18:p:1737-1743
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    References listed on IDEAS

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    1. González, M. & Molina, M. & Mota, M., 2000. "Limit behaviour for a subcritical bisexual Galton-Watson branching process with immigration," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 19-24, August.
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    Cited by:

    1. Manuel Molina & Manuel Mota & Alfonso Ramos, 2012. "Two-sex Branching Models with Random Control on the Number of Progenitor Couples," Methodology and Computing in Applied Probability, Springer, vol. 14(1), pages 35-48, March.
    2. Shixia Ma & Manuel Molina & Yongsheng Xing, 2012. "Two-Sex Branching Populations With Progenitor Couples in a Random Environment," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(4), pages 177-187, October.

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    1. Manuel Molina & Manuel Mota & Alfonso Ramos, 2012. "Two-sex Branching Models with Random Control on the Number of Progenitor Couples," Methodology and Computing in Applied Probability, Springer, vol. 14(1), pages 35-48, March.

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