ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES  

作　　者：邢永胜 王学强 

机构地区：[1]Mathematics Science College,Shandong Institute of Business and Technology [2]School of Mathematical Sciences and LPMC,Nankai University

出　　处：《Acta Mathematica Scientia》2008年第1期210-216,共7页数学物理学报（B辑英文版）

基　　金：supported by NNSF of China (10771119)

摘　　要：In this article, the population-size-dependent bisexual Galton-Watson processes are considered. Under some suitable conditions on the mating functions and the offspring distribution, existence of the limit of mean growth rate per mating unit is proved. And based on the limit, a criterion to identify whether the process admits ultimate extinct with probability one is obtained.In this article, the population-size-dependent bisexual Galton-Watson processes are considered. Under some suitable conditions on the mating functions and the offspring distribution, existence of the limit of mean growth rate per mating unit is proved. And based on the limit, a criterion to identify whether the process admits ultimate extinct with probability one is obtained.

关 键 词：Bisexual Galton-Watson branching processes population-size-dependent branching processes extinction probability 

分 类 号：O211.6[理学—概率论与数理统计]