A generating function approach to Markov chains undergoing binomial catastrophes. Issue 3 (4th March 2021)

• Record Type: Journal Article
• Authors: Goncalves, B; Huillet, T
• Is Part Of: Journal of statistical mechanics. Issue 3(2021)
• Publication Date: 2021-03-04
• Subjects: exact results -- growth processes -- population dynamics -- stochastic processes; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/abdfcb
• Languages: English
• ISSNs: 1742-5468

Abstract

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.