Nonlinear branching processes with immigration

2016/09/28 by Li, Pei-Sen
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1609.08929

Abstract

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

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