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

Xing Yongsheng; Wang Xueqiang

doi:10.1016/S0252-9602(08)60022-3

Acta mathematica scientia, Series B >

2008 , Vol. 28 >Issue 1: 210 - 216

DOI: https://doi.org/10.1016/S0252-9602(08)60022-3

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

Xing Yongsheng ,
Wang Xueqiang

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Mathematics Science College, Shandong Institute of Business and Technology, Yantai 264005, China

Received date: 2005-11-20

Revised date: 2006-08-29

Online published: 2008-01-20

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Abstract

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.

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

Cite this article

Xing Yongsheng , Wang Xueqiang . ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES[J]. Acta mathematica scientia, Series B, 2008 , 28(1) : 210 -216 . DOI: 10.1016/S0252-9602(08)60022-3

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