Keeping random walks safe from extinction and overpopulation in the presence of life-taking disasters
DOI10.1080/08898480.2021.1976476zbMath1498.92162OpenAlexW3208919940WikidataQ114157613 ScholiaQ114157613MaRDI QIDQ5039638
Branda Goncalves, Thierry E. Huillet
Publication date: 30 September 2022
Published in: Mathematical Population Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/08898480.2021.1976476
extinctionovershoottime to extinctionbirth and death random walks on the nonnegative integersextremal Markov chaingrowth against life-taking disastersrecurrence against transiencetime to overpopulation
Sums of independent random variables; random walks (60G50) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
Cites Work
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- Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
- Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes
- Discrete analogues of self-decomposability and stability
- Generalized hypergeometric, digamma and trigamma distributions
- Records generated by Markov sequences
- Scaling features of two special Markov chains involving total disasters
- Asymptotic properties of the Markov branching process with immigration
- Ergodic properties of nonnegative matrices. I
- Quasi-Stationary Distributions
- Markov Chains
- An interesting random walk on the non-negative integers
- An operational calculus for probability distributions via Laplace transforms
- On overshoots and hitting times for random walks
- Population model with immigration in continuous space
- Steady states of lattice population models with immigration
- A generating function approach to Markov chains undergoing binomial catastrophes
- Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes
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