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arXiv · 2101.03851

A generating function approach to Markov chains undergoing binomial catastrophes

Branda Goncalves·Thierry Huillet
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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.

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Branda Goncalves, Thierry Huillet. 2021-01-11. A generating function approach to Markov chains undergoing binomial catastrophes. https://arxiv.org/abs/2101.03851

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