| 随机环境中具有迁移的分枝过程的灭绝性 |
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| 引用本文： | 艾俊勇.随机环境中具有迁移的分枝过程的灭绝性[J].邵阳学院学报(自然科学版),2011,8(4):19-21. |
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| 作者姓名： | 艾俊勇 |
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| 作者单位： | 邵阳学院理学与信息科学系湖南邵阳422004 |
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| 摘 要： | 设Y(n)表示在时刻n迁入或迁出系统的粒子,这些粒子在随机环境ξ→=ξ→∞={ξ-}-≥中做分枝运动,X(n)表示在时刻n时粒子的总数,这里给出了在平稳遍历环境中具有迁移的分枝过程X(n)的灭绝的条件.
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| 关 键 词： | 随机环境 分枝过程 临界 迁移 灭绝 |
The Extinction for the Branching Process With Migration in Stationary Ergodic Distributed Environment |
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| AI Jun-yong.The Extinction for the Branching Process With Migration in Stationary Ergodic Distributed Environment[J].Journal of Shaoyang University:Science and Technology,2011,8(4):19-21. |
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| Authors: | AI Jun-yong |
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| Institution: | AI Jun-yong(Department of Science and Information Science,ShaoYangUniversity,Shaoyang Hunan,422004,China) |
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| Abstract: | let Y （n） be the particles migrated in the population at time n,then the particles gives rise to a branching process in random environments ￡=￡0∞ ={￡n }n≥0 , X（n）be the total particles at time n, the extinction condition of x（n） in the branching process under random environment is given. |
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| Keywords: | random environment branching process critical case migration extinction |
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