文献类型：期刊文献

英文题名：On the extinction of continuous-state branching processes in random environments

作者：Zheng, Xiangqi[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China

年份：2021

卷号：6

期号：1

起止页码：156

外文期刊名：AIMS MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000590361100011)】；

语种：英文

外文关键词：branching processes; asymptotic behavior; extinction; time-space transformation; epidemic; virus

摘要：This paper establishes a model of continuous-state branching processes with time inhomogeneous competition in Levy random environments. Some results on extinction are presented, including the distribution of the extinction time, the limiting distribution conditioned on large extinction times and the asymptotic behavior near extinction. This paper also provides a new time-space transformation which can be used for further exploration in similar models. The results are applied to an epidemic model to describe the dynamics of infectious population and a virus model to describe the dynamics of viral load.