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

被引：0

作者：

邢永胜

王学强

机构：

[1] Mathematics Science College Shandong Institute of Business and Technology

[2] School of Mathematical Sciences and LPMC

[3] Nankai University

[4] Yantai 264005

[5] China

[6] Tianjin 300071

来源：

Acta Mathematica Scientia | 2008年 / 01期

关键词：

Bisexual Galton-Watson branching processes; population-size-dependent branching processes; extinction probability;

D O I：

暂无

中图分类号：

O211.6 [随机过程];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：210 / 216

页数：7

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