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Journal of Applied Probability

Bisexual Galton-Watson branching process with population-size-dependent mating

M. Molina, M. Mota, and A. Ramos

Source: J. Appl. Probab. Volume 39, Number 3 (2002), 479-490.

Abstract

In this paper, we introduce a bisexual Galton-Watson branching process with mating function dependent on the population size in each generation. Necessary and sufficient conditions for the process to become extinct with probability 1 are investigated for two possible conditions on the sequence of mating functions. Some results for the probability generating functions associated with the process are also given.

Primary Subjects: 60J80
Keywords: Bisexual Galton-Watson branching processes; population-size-dependent branching processes; extinction probability

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1034082121
Digital Object Identifier: doi:10.1239/jap/1034082121
Mathematical Reviews number (MathSciNet): MR1928884
Zentralblatt MATH identifier: 1028.60088


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