A generating function approach to Markov chains undergoing binomial catastrophes
Statistical Mechanics
2021-01-12 v1
Abstract
In a Markov chain population model subject to catastrophes, random immigration events (birth), promoting growth, are in balance with the effect of binomial catastrophes that cause recurrent mass removal (death). Using a generating function approach, we study two versions of such population models when the binomial catastrophic events are of a slightly different random nature. In both cases, we describe the subtle balance between the two birth and death conflicting effects.
Cite
@article{arxiv.2101.03851,
title = {A generating function approach to Markov chains undergoing binomial catastrophes},
author = {Branda Goncalves and Thierry Huillet},
journal= {arXiv preprint arXiv:2101.03851},
year = {2021}
}