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

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

数学物理学报(英文版)

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

邢永胜; 王学强

山东工商学院数理学院, 烟台 264005

收稿日期:2005-11-20 修回日期:2006-08-29 出版日期:2008-01-20 发布日期:2008-01-20
通讯作者: 邢永胜
基金资助:
This research is supported by NNSF of China (10771119)

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

Xing Yongsheng; Wang Xueqiang

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

Received:2005-11-20 Revised:2006-08-29 Online:2008-01-20 Published:2008-01-20
Contact: Xing Yongsheng

摘要/Abstract

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.

关键词: Bisexual Galton-Watson branching processes, population-size-dependent branching processes, extinction probability

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

中图分类号:

60J80

邢永胜; 王学强. ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES[J]. 数学物理学报(英文版), 2008, 28(1): 210-216.

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.

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[2]	蓝国烈, 马志明, 孙苏勇. ON THE BASIC REPRODUCTION NUMBER OF GENERAL BRANCHING PROCESSES[J]. 数学物理学报(英文版), 2009, 29(4): 1081-1094.
[3]	马世霞; 邢永胜. THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS[J]. 数学物理学报(英文版), 2006, 26(4): 603-609.

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

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

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