Explosion of continuous-state branching processes with competition in a Levy environment

被引：0
|
作者：
Ma, Rugang [1 ,2 ]
Zhou, Xiaowen [2 ]
机构：
[1] Cent Univ Finance & Econ, Sch Stat & Math, Beijing, Peoples R China
[2] Concordia Univ, Dept Math & Stat, Montreal, PQ, Canada
来源：
JOURNAL OF APPLIED PROBABILITY | 2024年 / 61卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Continuous-state branching processes; competition; random environment; explosion; CONTINUOUS-TIME; EXTINCTION;
D O I：
10.1017/jpr.2023.32
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We find sufficient conditions on explosion/non-explosion for continuous-state branching processes with competition in a Levy random environment. In particular, we identify the necessary and sufficient conditions on explosion/non-explosion when the competition function is a power function and the Levy measure of the associated branching mechanism is stable.
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页码：68 / 81
页数：14
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