Bisexual Galton‐Watson Branching Process in Varying Environments

DOI10.1081/SAP-120026110zbMath1050.60081OpenAlexW1982770340MaRDI QIDQ4432680

Manuel Molina, Manuel Mota, Alfonso Ramos

Publication date: 28 October 2003

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-120026110

zbMATH Keywords

probability generating functionextinction probabilitysuperadditivity

Mathematics Subject Classification ID

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

Related Items (9)

On \(L^\alpha\)-convergance \((1\leq\alpha\leq 2)\) for a bisexual branching process with population-size dependent mating ⋮ Limiting behaviour for superadditive bisexual Galton-Watson processes in varying environments ⋮ On the asymptotic growth for a bisexual Galton-Watson branching process in varying environments ⋮ A.S. convergence rate and \(L^p\)-convergence of bisexual branching processes in a random environment and varying environment ⋮ Bisexual Galton-Watson branching processes in random environments ⋮ Two-sex branching models with random control on the number of progenitor couples ⋮ A class of two-sex branching processes with reproduction phase in a random environment ⋮ Bisexual branching processes with offspring and mating depending on the number of couples in the population ⋮ Two-Sex Branching Processes with Offspring and Mating in a Random Environment

Cites Work

• Limit behaviour for a subcritical bisexual Galton-Watson branching process with immigration
• The bisexual Galton-Watson process with promiscuous mating: Extinction probabilities in the supercritical case
• On the limit behavior of a supercritical bisexual Galton–Watson branching process with immigration of mating units
• On the limit behaviour of a superadditive bisexual Galton–Watson branching process
• Conditions for extinction in certain bisexual Galton–Watson branching processes
• A note on extinction criteria for bisexual Galton-Watson processes
• On the asymptotic properties of a supercritical bisexual branching process
• Bisexual Galton–Watson branching processes with superadditive mating functions
• On the extinction time distribution of a branching process in varying environments
• A necessary condition for extinction in those bisexual Galton-Watson branching processes governed by superadditive mating functions
• On the L²-convergence of a superadditive bisexual Galton-Watson branching process
• Extinction conditions for certain bisexual Galton-Watson branching processes

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