| ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES |
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| 作者姓名： | 邢永胜 王学强 |
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| 作者单位： | [1]Mathematics Science College, Shandong Institute of Business and Technology, Yantai 264005, China [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
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| 基金项目： | This research is supported by NNSF of China （10771119） |
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| 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.
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| 关 键 词： | 吸光度 概率 消光方法 物理学 |
| 收稿时间： | 2005-11-20 |
| 修稿时间： | 2006-08-29 |
On The Extinction of Population-Size-Dependent Bisexual Galton-Watson Processes |
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| Xing Yongsheng,Wang Xueqiang.ON THE EXTINCTION OF POPULATION-SIZE-DEPENDENT BISEXUAL GALTON-WATSON PROCESSES[J].Acta Mathematica Scientia,2008,28(1):210-216. |
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| Authors: | Xing Yongsheng Wang Xueqiang |
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| Institution: | aMathematics Science College, Shandong Institute of Business and Technology, Yantai 264005, China;bSchool of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China |
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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. |
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| Keywords: | Bisexual Galton-Watson branching processes population-size-dependent branching processes extinction probability |
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