A continuous-state polynomial branching process

DOI10.1016/j.spa.2018.08.013zbMath1422.60149arXiv1609.09593OpenAlexW2889314680WikidataQ129310817 ScholiaQ129310817MaRDI QIDQ2274288

Pei-Sen Li

Publication date: 19 September 2019

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

Full work available at URL: https://arxiv.org/abs/1609.09593

zbMATH Keywords

extinctionbranching processstochastic integral equationexplosioncontinuous-stateLamperti transformationpolynomial branching

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (18)

On the extinction of continuous state branching processes with competition ⋮ On the extinction-extinguishing dichotomy for a stochastic Lotka-Volterra type population dynamical system ⋮ Extinguishing behaviors for continuous-state nonlinear branching processes ⋮ Extinction time and the total mass of the continuous-state branching processes with competition ⋮ Integral functionals for spectrally positive Lévy processes ⋮ On the entrance at infinity of Feller processes with no negative jumps ⋮ Continuous-state branching processes with collisions: first passage times and duality ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Time-changed spectrally positive Lévy processes started from infinity ⋮ Long time behaviour of continuous-state nonlinear branching processes with catastrophes ⋮ Extinction and coming down from infinity of continuous-state branching processes with competition in a Lévy environment ⋮ Sample paths of continuous-state branching processes with dependent immigration ⋮ Boundary behaviors for a class of continuous-state nonlinear branching processes in critical cases ⋮ On the explosion of a class of continuous-state nonlinear branching processes ⋮ Entrance and exit at infinity for stable jump diffusions ⋮ Approximation of the height process of a continuous state branching process with interaction ⋮ Complete monotonicity of time-changed Lévy processes at first passage

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