English

Construction of age-structured branching processes by stochastic equations

Probability 2020-12-15 v1

Abstract

We give constructions of age-structured branching processes without or with immigration as pathwise unique solutions to stochastic integral equations. A necessary and sufficient condition for the ergodicity of the model with immigration is also given.

Cite

@article{arxiv.2012.07039,
  title  = {Construction of age-structured branching processes by stochastic equations},
  author = {Lina Ji and Zenghu Li},
  journal= {arXiv preprint arXiv:2012.07039},
  year   = {2020}
}
R2 v1 2026-06-23T20:55:52.204Z