随机环境中具有迁移的两性分枝过程的极限性质

doi:10.16039/j.cnki.cn22-1249.2020.11.018

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摘要

在独立同分布的随机环境下，给出随机环境中具有迁移的两性分枝过程[Z_n,n≥0]，并且迁移人口数与当前人口数有关。本文引入每个配对单元的条件均值增长率，讨论增长率的性质，得到该过程条件均值的上下界，研究了过程由此上下界规范化过程的极限性质。

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	任敏
	王晶晶

关键词: 随机环境两性分枝过程条件均值几乎处处收敛

Abstract:

In this paper, we consider a bisexual branching process with population-size-dependent migration in independent and identically distributed random environments. The conditional mean growth rate per mating unit is introduced, and its related properties are studied, then the upper and lower bounds of conditional mean of the process are obtained. The limiting behaviors of the number of mating units in each generation normalized by these two bounds are respectively investigated.

Key words: random environments bisexual branching process the conditional mean almost everywhere convergence

出版日期: 2020-11-25 发布日期: 2020-11-25 整期出版日期: 2020-11-25

ZTFLH:

O211.65

引用本文:

任敏, 王晶晶. 随机环境中具有迁移的两性分枝过程的极限性质 [J]. 吉林化工学院学报, 2020, 37(11): 85-90.
REN Min, WANG Jingjing. Limiting Behaviors of the Bisexual Branching Processes with Migration in Random Environments . Journal of Jilin Institute of Chemical Technology, 2020, 37(11): 85-90.

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http://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2020.11.018 或 http://xuebao.jlict.edu.cn/CN/Y2020/V37/I11/85