Boundary behaviors for a class of continuous-state nonlinear branching processes in critical cases

DOI10.1214/21-ECP374zbMath1493.60127arXiv2011.06389OpenAlexW3158974775MaRDI QIDQ2064812

Xu Yang, Shao-juan Ma, Xiao-Wen Zhou

Publication date: 6 January 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06389

zbMATH Keywords

stochastic differential equationextinctionexplosioncontinuous-state branching processFoster-Lyapunov criteriacome down from infinitynonlinear branchingstay infinite

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

On the extinction-extinguishing dichotomy for a stochastic Lotka-Volterra type population dynamical system ⋮ Explosion of continuous-state branching processes with competition in a Lévy environment

Cites Work

• The branching process with logistic growth
• ``Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth
• Exponential ergodicity for general continuous-state nonlinear branching processes
• Time-changed spectrally positive Lévy processes started from infinity
• Long time behaviour of continuous-state nonlinear branching processes with catastrophes
• On the entrance at infinity of Feller processes with no negative jumps
• Hitting properties and non-uniqueness for SDEs driven by stable processes
• A continuous-state polynomial branching process
• A general continuous-state nonlinear branching process
• Measure-Valued Branching Markov Processes

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