Uniqueness and extinction of weighted Markov branching processes

DOI10.1007/s11009-005-5005-yzbMath1104.60047OpenAlexW1965070485MaRDI QIDQ2433248

Anyue Chen, N. I. Ramesh, Jun Ping Li

Publication date: 27 October 2006

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-005-5005-y

zbMATH Keywords

regularityexplosion

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (12)

The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time ⋮ Nonlinear branching processes with immigration ⋮ Unnamed Item ⋮ Decay property of stopped Markovian bulk-arriving queues ⋮ Probabilistic approach in weighted Markov branching processes ⋮ Decay properties of Markovian bulk-arrival and bulk-service queues with state-independent control ⋮ Markov branching processes with immigration-migration and resurrection ⋮ Extinction and explosion of nonlinear Markov branching processes ⋮ Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction ⋮ Down/up crossing properties of weighted Markov collision processes ⋮ Decay property of stopped Markovian bulk-arriving queues withc-servers ⋮ General collision branching processes with two parameters

Cites Work

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• An extended class of time-continuous branching processes
• TheM/M/1 queue with mass exodus and mass arrivals when empty
• Ergodicity and stability of generalised Markov branching processes with resurrection
• Markovian bulk-arriving queues with state-dependent control at idle time
• Spectral theory of branching processes. I
• Applications of Feller-Reuter-Riley transition functions

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