Nonlinear Branching Processes with Immigration

被引：1

作者：

Li, Pei-Sen ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 08期

关键词：

Nonlinear branching process; immigration; stochastic integral equation; regularity; recurrence; ergodicity; strong ergodicity; ERGODICITY; EXTINCTION;

D O I：

10.1007/s10114-017-6472-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures. Some criteria for the regularity, recurrence, ergodicity and strong ergodicity of the process are then established.

引用

页码：1021 / 1038

页数：18

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