Geometric growth in near-supercritical population size dependent multitype Galton-Watson processes

DOI10.1214/aop/1176991167zbMath0694.60079OpenAlexW2004997961MaRDI QIDQ909358

Fima C. Klebaner

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991167

zbMATH Keywords

growth ratesgeometric growthpopulation processsupercritical branching processmultidimensional Markov chains

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Population-size-dependent and age-dependent branching processes., Bisexual branching processes to model extinction conditions for Y-linked genes, Transient behaviour of a Galton–Watson process with a large number of types, OnL²-Convergence in a Class of Homogeneous Multitype Markov Chains, The age structure of population-dependent general branching processes in environments with a high carrying capacity, Population Size Dependent Generalized Multitype Branching Processes, Multitype population-size-dependent branching process with dependent offspring, Multitype population size-dependent branching processes with dependent offspring, On the geometric growth in a class of homogeneous multitype Markov chain, Branching processes with dependence but homogeneous growth, Limit theorems for multi-type general branching processes with population dependence, Epidemiological modeling in a branching population: Particular case of a general \(SIS\) model with two age classes