随机环境中多物种分枝随机游动

On Mutitype Branching Random Walk in Random Environments

引进了随机环境中多物种分枝随机游动的一般模型.在分枝过程非灭绝的情况下,讨论了系统的状态分类,得到了系统暂留及强常返的充要条件是存在k个定义在整数集上的函数分别满足某种性质.最后给出了系统强暂留的充分条件.

A general framework of stochastic model for a multitype branching random walk in random environments is introduced. We consult the classification of the system under the codition that the branching process is not extinct. We also get the sufficient and necessarily conditions to ensure the transience or strong recurrence of the system is that there exist functions satisfy some properties defined on integer. Finally, we give the sufficient condition to ensure strong transience of the system.