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

被引:7
|
作者
Molina, Manuel [1 ]
Jacob, Christine [2 ]
Ramos, Alfonso [1 ]
机构
[1] Univ Extremadura, Dept Math, E-06071 Badajoz, Spain
[2] INRA, Appl Math & Informat Unity, F-78352 Jouy En Josas, France
关键词
branching processes; bisexual processes; population-size dependent processes;
D O I
10.1007/s11749-006-0031-9
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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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页码:265 / 281
页数:17
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