Long time behaviour of continuous-state nonlinear branching processes with catastrophes
Probability
2021-06-01 v3
Abstract
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics. The population process evolves as a diffusion with positive jumps whose rate is a function of the population size. It also undergoes catastrophic events which kill a fraction of the population, at a rate depending on the population state. We study the long time behaviour of this class of processes.
Cite
@article{arxiv.1908.11592,
title = {Long time behaviour of continuous-state nonlinear branching processes with catastrophes},
author = {Aline Marguet and Charline Smadi},
journal= {arXiv preprint arXiv:1908.11592},
year = {2021}
}