邢永胜^*

（  山东工商学院数学与信息学院；  ）

摘要： 本职称论文发表写作考虑了人口数相依的两性分支过程.在对配对函数及后代分布作了一些合理假设后,我们证明了平均增长率的极限存在,利用此极限,我们给出了此过程以概率1灭绝的一个必要条件.

Xing Yongsheng^*

（  Shan dong Institute of Business and Technology；  ）

Abstract： In this paper, we consider the bisexual Galton-Watson branching processes dependent on the population size. Under some suitable conditions on the mating function and offspring distribution, we show that the limit of mean growth rate per mating unit exists, and based on the limit, we give a criterion to identify whether the process admits ultimate extinct with probability one.
Keywords： Bisexual Galton-Watson branching processes;

 

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