Quasi-stationary distributions and diffusion models in population dynamics

DOI10.1214/09-AOP451zbMath1176.92041arXivmath/0703781MaRDI QIDQ1035865

Sylvie Méléard, Patrick Cattiaux, Amaury Lambert, Pierre Collet, Jaime San Martín, Servet Martínez

Publication date: 4 November 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703781

zbMATH Keywords

convergence ratepopulation dynamicsquasi-stationary distributionbirth-death processlogistic growthYaglom limitQ-processentrance boundary at infinitygeneralized Feller diffusion

Mathematics Subject Classification ID

Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Diffusion processes (60J60) Ergodic theorems, spectral theory, Markov operators (37A30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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