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

• Autores: Manuel Molina Fernández , Christine Jacob , Alfonso Ramos Cantariño
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 17, Nº. 2, 2008, págs. 265-281
• Idioma: inglés
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• Resumen

  • 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.