Extinction in a model for the growth of a population subject to catastrophes

DOI10.1080/17442508508833336zbMath0563.92012OpenAlexW2083790962MaRDI QIDQ3677555

Gustaf Gripenberg

Publication date: 1985

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508508833336

zbMATH Keywords

mean time to extinctionrandom catastrophessemi-stochastic models of population growth

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (4)

Analysis of periodic growth-disturbance models ⋮ A metapopulation model with population jumps of varying sizes ⋮ On population growth with catastrophes ⋮ Convergence rates for semistochastic processes

Cites Work

• Logistic growth with random density independent disasters
• A stochastic model for a replicating population subjected to mass emigration due to population pressure
• Persistence times of populations with large random fluctuations
• A bounded growth population subjected to emigrations due to population pressure
• Storage processes with general release rule and additive inputs
• Birth, immigration and catastrophe processes

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