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Nonlinear Branching Processes with Immigration 被引量:1

Nonlinear Branching Processes with Immigration
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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. 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.
作者 Pei-Sen LI
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第8期1021-1038,共18页 数学学报(英文版)
基金 Supported by NSFC(Grant Nos.1131003,11626245 and 11571043)
关键词 Nonlinear branching process IMMIGRATION stochastic integral equation REGULARITY RECURRENCE ERGODICITY strong ergodicity Nonlinear branching process, immigration, stochastic integral equation, regularity, recurrence, ergodicity, strong ergodicity
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