On the extinction of continuous-state branching processes in random environments

被引：0
|
作者：
Zheng, Xiangqi [1 ]
机构：
[1] East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 01期
关键词：
branching processes; asymptotic behavior; extinction; time-space transformation; epidemic; virus; LARGE NUMBERS; TIME;
D O I：
10.3934/math.2021011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：156 / 167
页数：12
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