Existence and uniqueness of a quasi-stationary distribution for the general collision branching process
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.
mean return timequasi-stationary distributiongeneralized collision branching processcome back from infinity
万方数据
维普
