Unique quasi-stationary distribution, with a possibly stabilizing extinction

DOI10.1016/j.spa.2022.02.004zbMath1491.60128arXiv1802.02409OpenAlexW2787124493WikidataQ114175706 ScholiaQ114175706MaRDI QIDQ2132530

Aurélien Velleret

Publication date: 28 April 2022

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

Full work available at URL: https://arxiv.org/abs/1802.02409

zbMATH Keywords

diffusionquasi-stationary distributionbirth-and-death processHarris recurrenceQ-processsurvival capacity

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (7)

Practical criteria for \(R\)-positive recurrence of unbounded semigroups ⋮ Transcritical bifurcation for the conditional distribution of a diffusion process ⋮ Adaptation of a population to a changing environment in the light of quasi-stationarity ⋮ A non‐conservative Harris ergodic theorem ⋮ Two level natural selection with a quasi-stationarity approach ⋮ General criteria for the study of quasi-stationarity ⋮ Exponential quasi-ergodicity for processes with discontinuous trajectories

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