数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2009年
3期
237-241
,共5页
随机环境中控制分枝过程%稳定性%灭绝概率
隨機環境中控製分枝過程%穩定性%滅絕概率
수궤배경중공제분지과정%은정성%멸절개솔
controlled branching chains in random environments%stability%extinction probability
本文研究了控制函数独立同分布,并且第n代的繁殖情况取决于环境的随机环境中分枝过程.给出了该模型稳定的充分条件,当环境平稳遍历时,得到了过程几乎处处灭绝的充分条件.
本文研究瞭控製函數獨立同分佈,併且第n代的繁殖情況取決于環境的隨機環境中分枝過程.給齣瞭該模型穩定的充分條件,噹環境平穩遍歷時,得到瞭過程幾乎處處滅絕的充分條件.
본문연구료공제함수독립동분포,병차제n대적번식정황취결우배경적수궤배경중분지과정.급출료해모형은정적충분조건,당배경평은편력시,득도료과정궤호처처멸절적충분조건.
We consider controlled branching chains in random environments, that the controlled functions are i.i.d. random variables and the reproduction of an individual in the n-th season depends on the environments. Some results on process stability are shown. The extinction probabilities are given when environments are stationary and ergodic.
