Multitype branching processes with disasters. II: Total sojourn time and number of deaths

DOI10.1016/S0895-7177(98)00167-8zbMath0991.60075OpenAlexW2017336228MaRDI QIDQ1596793

R. Smith

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(98)00167-8

zbMATH Keywords

renewal processregeneration point techniquedecomposable processmultitype Markov branching processtotal mean sojourn timetoxic effects of drugs in cellular systems

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Markov branching processes with disasters: extinction, survival and duality to \(p\)-jump processes ⋮ Markovian Trees Subject to Catastrophes: Transient Features and Extinction Probability

Cites Work

• Population processes under the influence of disasters occurring independently of population size
• The total sojourn time distribution in a stochastic compartmental model
• The linear birth and death process under the influence of independently occurring disasters
• Multitype branching processes with disasters. I: The number of particles in the system
• Markov branching processes regulated by emigration and large immigration
• Linear birth and death processes under the influence of disasters with time-dependent killing probabilities
• Limit theorems for decomposable multi-dimensional Galton-Watson processes
• CATASTROPHE PROCESSES WITH CONTINUOUS STATE-SPACE1
• Birth, immigration and catastrophe processes
• A branching process with disasters
• Stochastic Models of Compartmental Systems
• On the total sojourn time of particles in semi-markov compartmental system with branching particles
• Birth-death processes with mass annihilation and state-dependent immigration
• On the homogeneous birth-and-death process and its integral
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