Extinction time in growth models subject to binomial catastrophes

Populations are often subject to catastrophes that lead to significant reductions in the number of individuals. Many stochastic growth models have been considered to explain such dynamics. Among the reported results, it has been considered whether dispersion strategies, at times of catastrophes, inc...

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Published inJournal of statistical mechanics Vol. 2023; no. 10; pp. 103501 - 103514
Main Authors Duque, F, Junior, V V, Machado, F P, Roldán-Correa, A
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2023
Subjects
branching processes
catastrophes
population dynamics
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ISSN1742-5468
1742-5468
DOI10.1088/1742-5468/acf8bc

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Summary:Populations are often subject to catastrophes that lead to significant reductions in the number of individuals. Many stochastic growth models have been considered to explain such dynamics. Among the reported results, it has been considered whether dispersion strategies, at times of catastrophes, increase the survival probability of the population. In this paper, we contrast dispersion strategies by comparing the mean extinction times of a population under conditions of near-certain extinction. Specifically, we consider populations subject to binomial catastrophes, where the population size is reduced according to a binomial law when a catastrophe occurs. Our findings delineate the optimal strategy (dispersion or non-dispersion) based on variations in model parameter values.
Bibliography:JSTAT_053P_0523
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/acf8bc