Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process  

作　　者：Lin Yu BAI Xu YANG 

机构地区：[1]School of Mathematics and Information Science,North Minzu University,Yinchuan 750021,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第8期2005-2016,共12页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.12061004);NSF of Ningxia(Grant No.2021AAC02018);the Fundamental Research Funds for the Central Universities,North Minzu University(Grant No.2020KYQD17);Major research project for North Minzu University(Grant No.ZDZX201902);the Construction Project of First-Class Disciplines in Ningxia Higher Education(Grant No.NXYLXK2017B09)。

摘　　要：By generalizing a criterion of Mufa Chen for Markov jump processes,we establish the necessary and sufficient conditions for the extinction,explosion and coming down from infinity of a continuous-state nonlinear Neveu’s branching process.

关 键 词：Continuous-state branching process nonlinear branching Neveu’s branching EXTINCTION explosion coming down from infinity 

分 类 号：O211.65[理学—概率论与数理统计]