On the Extinction Probability of a Branching Process with Two Kinds of Interaction of Particles

DOI10.1137/S0040585X97978981zbMath1020.60072MaRDI QIDQ3147231

Aleksandr V. Kalinkin

Publication date: 18 September 2002

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

explicit solutionsextinction probabilitiesbranching process with interaction of particlesLaplace equation for the exponential generating function

Mathematics Subject Classification ID

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

Related Items (10)

Branching collision processes with immigration ⋮ Generalized Markov interacting branching processes ⋮ Asymptotic Behaviour of Extinction Probability of Interacting Branching Collision Processes ⋮ The collision branching process ⋮ Markov branching processes with immigration-migration and resurrection ⋮ Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction ⋮ Down/up crossing properties of weighted Markov collision processes ⋮ General collision branching processes with two parameters ⋮ A new approach in analyzing extinction probability of Markov branching process with immigration and migration ⋮ Extinction Probability of Interacting Branching Collision Processes

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