In this paper,we study the long-term dynamic behaviour of the Generalized Collision Branching Process(GCBP).Firstly,we show that the mean extinction time is uniformly bounded and establish the mean return time is finite of the GCBP,furthermore,we get it can come down from infinity.Finally,we demonstrate that the conditional distribution of the process converges exponentially to its quasi-stationary distribution(QSD)in the total variation norm.
关键词
平均返回时间/拟平稳分布/一般碰撞分支过程/从无穷远处回来
Key words
mean return time/quasi-stationary distribution/generalized collision branching process/come back from infinity
维普
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