| 随机环境中伴有移民两性分枝过程的极限性质 |
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| 引用本文： | 宋明珠.随机环境中伴有移民两性分枝过程的极限性质[J].应用数学,2012,25(3):667-671. |
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| 作者姓名： | 宋明珠 |
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| 作者单位： | 铜陵学院数学与计算机系,安徽铜陵,244000 |
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| 基金项目： | 高校省级自然科学研究项目(kj2009B096);高校省级优秀青年人才基金项目(2011SQRL143);教育部人文社科青年基金项目(12YJCZH217) |
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| 摘 要： | 本文在独立同分布的随机环境下,建立带有移民的两性分枝过程{Zn}n≥0,且移民人口数依赖当前人口数,证得{Zn}n≥0和{(Fn,Mn)}n≥1是随机环境中的马氏链,并得到第n代每个配对单元平均增长率{rk}k≥0的极限性质,从而推广了经典两性分枝过程的相关理论.
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| 关 键 词： | 随机环境 两性分枝过程 移民依赖人口数 马氏链 极限性质 |
The Limit Properties of the Bisexual Branching Process with Population-size-dependent Immigration in Random Environments |
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| SONG Mingzhu.The Limit Properties of the Bisexual Branching Process with Population-size-dependent Immigration in Random Environments[J].Mathematica Applicata,2012,25(3):667-671. |
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| Authors: | SONG Mingzhu |
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| Institution: | SONG Mingzhu (Unit Institute of Math. and Computing,Tongling University,Tongling 244000,China) |
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| Abstract: | In this paper,we consider a bisexual branching process with population-size-dependent immigration in independent and identically distributed random environments.It is proved the bisexual branching process is Markov chains in random environments and the double chains about the number of females and males in the nth generation is double Markov chains in random environments,too.The limit properties of the mean growth rate per mating unit is studied.Some limit properties known about classical bisexual branching process in random environments are enlarged. |
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| Keywords: | Random environment Bisexual branching process Population-size-dependent immigration Markov chains Limit property |
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