摘要
引进了静态迁徙下依赖于年龄的随机环境中分枝过程的模型,给出了该模型的条件母函数的更新方程并考虑了特殊情形下的随机Kolmogorov方程.与此同时,通过研究更新方程得到了分枝过程的各阶矩,考虑了简单情形下的灭绝概率.最后给出了一个开问题.
The model of age-independent in random environments is introduced branching processes with static immigration Giving the renewal equation of conditional generation function and considering the Kolmogorov equation for the special case. Moreover, we obtain the moments through studying the renewal equation and consider the extinction probability simply. Finally, we give an open problem.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2011年第1期61-68,共8页
Acta Mathematica Sinica：Chinese Series
基金
数学天元青年基金资助项目(10926032)
