The linear birth and death process under the influence of independently occurring disasters

DOI10.1007/BF00333143zbMath0708.60078MaRDI QIDQ920486

Prem S. Puri, Wolfgang J. Bühler

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

linear birth and death processasymptotic behavior of the processembedded Galton-Watson process

Mathematics Subject Classification ID

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

Related Items (8)

Linear birth and death processes under the influence of disasters with time-dependent killing probabilities ⋮ Branching processes. II ⋮ The expected degree distribution in transient duplication divergence models ⋮ Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes ⋮ On semi-markov compartmental models with branching particles under the influence of disasters ⋮ Population processes under the influence of disasters occurring independently of population size ⋮ Multitype branching processes with disasters. I: The number of particles in the system ⋮ Multitype branching processes with disasters. II: Total sojourn time and number of deaths

Cites Work

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• Population processes under the influence of disasters occurring independently of population size
• Limit theorems for the population size of a birth and death process allowing catastrophes
• Controlling a lethal growth process
• 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
• Modeling the effect of erosion on crop production
• On almost sure convergence of an erosion process due to Todorovic and Gani
• A branching process with disasters
• Limit theorems for a branching process with disasters
• On the homogeneous birth-and-death process and its integral
• Branching Processes with Random Environments, II: Limit Theorems
• A theorem on compositions of random probability generating functions and applications to branching processes with random environments

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