The Markov branching process with density-independent catastrophes. II. The subcritical and critical cases

DOI10.1017/S0305004100078178zbMath0735.60090MaRDI QIDQ3982609

Anthony G. Pakes

Publication date: 26 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Markov branching processFeller processpopulation sizecatastrophe times

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

A complementary note on the supercritical birth, death and catastrophe process ⋮ Branching processes. II ⋮ Poisson representations of branching Markov and measure-valued branching processes ⋮ The Markov branching process with density-independent catastrophes. III. The supercritical case ⋮ On supercritical branching processes with emigration

Cites Work

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• The Markov branching-castastrophe process
• Limit theorems for the population size of a birth and death process allowing catastrophes
• Persistence times of populations with large random fluctuations
• The supercritical birth, death and catastrophe process: Limit theorems on the set of non-extinction
• The extinction time of a birth, death and catastrophe process and of a related diffusion model
• The Markov branching process with density-independent catastrophes I. Behaviour of extinction probabilities
• Supercritical branching processes with density independent catastrophes
• Birth, immigration and catastrophe processes

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