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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
引用本文:刘宣,刘经农,苗秀金.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[J].数学理论与应用,2008,28(3):30-34.
作者姓名:刘宣  刘经农  苗秀金
作者单位:中南大学数学科学与计算技术学院,长沙 410075
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嚼决定)并得到了有关它们灭绝概率的一些结果。

关 键 词:两性分支过程  灭绝概率  配对函数  伴Y基因

Bisexual Branching Processes in a Genetic Contex:The Extinction Problem for Y-Linked Genes
Liu Xuan Liu Jingnong Miao Xiujin.Bisexual Branching Processes in a Genetic Contex:The Extinction Problem for Y-Linked Genes[J].Mathematical Theory and Applications,2008,28(3):30-34.
Authors:Liu Xuan Liu Jingnong Miao Xiujin
Institution:Liu Xuan Hu Jingnong Miao Xiujin ( School of Mathematical Science and Computing Technology, CSU, Changsha, 410075 )
Abstract:In this paper,we Discuss the bisexual branching processes in a genetic context with two mating function that the one is called perfect fid elity mating function and the other has the form L(x,y)=x which means the nu mber of mating units is only ditermined by the number of females.Under these ass umptions,the necessary and sufficient condition of the process extinction with p robability 1 was obtained.
Keywords:Bisexual branching processes Probability of extinction M ating function
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