Some Contributions to the Theory of Near-Critical Bisexual Branching Processes
Keyword(s):
We investigate the probabilistic evolution of a near-critical bisexual branching process with mating depending on the number of couples in the population. We determine sufficient conditions which guarantee either the almost sure extinction of such a process or its survival with positive probability. We also establish some limiting results concerning the sequences of couples, females, and males, suitably normalized. In particular, gamma, normal, and degenerate distributions are proved to be limit laws. The results also hold for bisexual Bienaymé–Galton–Watson processes, and can be adapted to other classes of near-critical bisexual branching processes.
2007 ◽
Vol 44
(2)
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pp. 492-505
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2007 ◽
Vol 44
(02)
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pp. 492-505
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1984 ◽
Vol 21
(01)
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pp. 40-49
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1999 ◽
Vol 36
(1)
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pp. 146-154
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Keyword(s):
1999 ◽
Vol 36
(01)
◽
pp. 146-154
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Keyword(s):
2005 ◽
Vol 42
(2)
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pp. 463-477
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1980 ◽
Vol 12
(02)
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pp. 350-366
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2005 ◽
Vol 42
(02)
◽
pp. 463-477
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