某类遗传环境下的两性分支过程:有关伴Y基因的灭绝概率问题  

Bisexual Branching Processes in a Genetic Contex:The Extinction Problem for Y-Linked Genes

作　　者：刘宣[1] 刘经农[1] 苗秀金 

机构地区：[1]中南大学数学科学与计算技术学院,长沙410075

出　　处：《数学理论与应用》2008年第3期30-34,共5页Mathematical Theory and Applications

摘　　要：本文在文献[2]的基础上研究了另一类遗传环境下的两性分支过程(其中配对单元类型多于一种且有一种类型的配对单元数仅由雌性数目决定)并得到了有关它们灭绝概率的一些结果。In this paper, we Discuss tile bisexual branching processes in a genetic context with two mating function that the one is called perfect fidelity mating function and the other has the form L （ x, y） = x which means the number of mating units is only ditermined by the number of females. Under these assumptions, the necessary and sufficient condition of the process extinction with probability 1 was obtained.

关 键 词：两性分支过程 灭绝概率 配对函数 伴Y基因 

分 类 号：O211.6[理学—概率论与数理统计]