Nonlinear branching processes with immigration

Pei-Sen Li

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arXiv · 1609.08929

Nonlinear branching processes with immigration

Pei-Sen Li

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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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Pei-Sen Li. 2016-09-28. Nonlinear branching processes with immigration. https://arxiv.org/abs/1609.08929

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