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Bisexual branching processes with offspring and mating depending on the number of couples in the population

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Abstract

In this work, we introduce a discrete-time bisexual branching process which considers both offspring and mating depending on the number of couples in the population at the previous generation. For such a model, we determine several probabilistic properties and provide some theoretical results concerning its limiting evolution. As an illustration, some simulated examples are given.

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Authors and Affiliations

  1. Department of Mathematics, University of Extremadura, 06071, Badajoz, Spain

    Manuel Molina & Alfonso Ramos

  2. Applied Mathematics and Informatics Unity, INRA, 78352, Jouy-en-Josas Cedex, France

    Christine Jacob

Authors
  1. Manuel Molina
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  2. Christine Jacob
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  3. Alfonso Ramos
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Corresponding author

Correspondence to Manuel Molina.

Additional information

Research supported by the Ministerio de Ciencia y Tecnología and the FEDER through the Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica, grant BFM2003-06074

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Molina, M., Jacob, C. & Ramos, A. Bisexual branching processes with offspring and mating depending on the number of couples in the population. TEST 17, 265–281 (2008). https://doi.org/10.1007/s11749-006-0031-9

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  • DOI: https://doi.org/10.1007/s11749-006-0031-9

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