带有移民的两性分支过程极限性质(英文) 被引量：1

Limit Behavior of the Bisexual Branching Processes with Population-Size-Dependent Immigration

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摘要考虑带有移民的两性分支过程,这里移民数量依赖于当前人口总数,在下临界状态情形,本文证明了此过程收敛于一平衡分布. In this paper, a class of bisexual branching process with populationsize-dependent immigration is introduced. For the subcritical case,i.e, growth rate less than one, the limit behavior of related sequences is investigated.

作者邢永胜马士霞

机构地区山东工商学院数信学院河北工业大学理学院

出处《生物数学学报》 CSCD 北大核心 2007年第4期599-604,共6页 Journal of Biomathematics

基金 Supported by the Natural Science Foundation of China(Grant No.10771119)

关键词两性分支过程依赖于人口总数的移民平衡分布 Bisexual branching processes Population-size-dependent immigra-tion Stationary probability distribution

分类号 O211.6 [理学—概率论与数理统计]

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