一类带移民两性分支过程的灭绝条件  

Extinction conditions for certain bisexual Galton-Watson branching processes with immigration

作　　者：刘宣[1] 

机构地区：[1]福州大学阳光学院,福建福州350015

出　　处：《福州大学学报（自然科学版）》2011年第4期493-496,共4页Journal of Fuzhou University(Natural Science Edition)

摘　　要：讨论一类带移民两性分支过程.介绍这种两性分支过程模型,给出该过程平均增长率的定义,并讨论其存在性,最后利用马氏链、离散鞅论、两性分支过程的相关结论得到该过程以概率1灭绝的充分必要条件是其平均增长率小于等于1.We discuss a class of bisexual Galton-Watson branching processes with immigration（BGWBI）.Introduce simply this bisexual Galton-Watson branching processes,give the definition of mean growth rate and discuss its existence.Finally by using relevant conclusions of Markovchain、 Discrete martingale theory and branching process,we obtain a sufficient and necessary condition that the mean growth rate is less then or equal to 1 for its almost sure extinction.

关 键 词：两性分支过程 灭绝概率 平均增长率 配对函数 

分 类 号：O211.65[理学—概率论与数理统计]