Nonlinear branching processes with immigration

Pei Sen Li

doi:10.1007/s10114-017-6472-0

Nonlinear branching processes with immigration

Pei Sen Li^*

^*Corresponding author for this work

Beijing Normal University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1021-1038
Number of pages	18
Journal	Acta Mathematica Sinica, English Series
Volume	33
Issue number	8
DOIs	https://doi.org/10.1007/s10114-017-6472-0
Publication status	Published - 1 Aug 2017
Externally published	Yes

Keywords

Nonlinear branching process
ergodicity
immigration
recurrence
regularity
stochastic integral equation
strong ergodicity

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10.1007/s10114-017-6472-0

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title = "Nonlinear branching processes with immigration",

abstract = "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.",

keywords = "Nonlinear branching process, ergodicity, immigration, recurrence, regularity, stochastic integral equation, strong ergodicity",

author = "Li, {Pei Sen}",

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KW - Nonlinear branching process

KW - ergodicity

KW - immigration

KW - recurrence

KW - regularity

KW - stochastic integral equation

KW - strong ergodicity

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Nonlinear branching processes with immigration

Abstract

Keywords

UN SDGs

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