A generating function approach to Markov chains undergoing binomial\n catastrophes

2021/01/11 by Branda Goncalves, Goncalves, Branda, Thierry Huillet +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2101.03851

openalex publication_date 2021/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a Markov chain population model subject to catastrophes, random\nimmigration events (birth), promoting growth, are in balance with the effect of\nbinomial catastrophes that cause recurrent mass removal (death). Using a\ngenerating function approach, we study two versions of such population models\nwhen the binomial catastrophic events are of a slightly different random\nnature. In both cases, we describe the subtle balance between the two birth and\ndeath conflicting effects.\n

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