Explosion of continuous-state branching processes with competition in L\'evy environment
Probability
2022-08-25 v3
Abstract
Using the Lyapunov criteria arguments, we find sufficient conditions on explosion/nonexplosion for continuous-state branching processes with competition in L\'evy random environment. In particular, we identify the necessary and sufficient conditions on explosion/nonexplosion when the competition function is a power function and the L\'evy measure of the associated branching mechanism is stable.
Keywords
Cite
@article{arxiv.2205.07415,
title = {Explosion of continuous-state branching processes with competition in L\'evy environment},
author = {Rugang Ma and Xiaowen Zhou},
journal= {arXiv preprint arXiv:2205.07415},
year = {2022}
}