Two level natural selection with a quasi-stationarity approach

DOI10.3934/dcdsb.2023122zbMath1530.92161arXiv1903.10161MaRDI QIDQ6139074

Aurélien Velleret

Publication date: 16 January 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10161

zbMATH Keywords

meta-stabilityevolutiongroup selectionecologylong time limits

Mathematics Subject Classification ID

Problems related to evolution (92D15) Ecology (92D40) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models
• A unifying framework reveals key properties of multilevel selection
• Quasi-Stationary Distributions
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• Uniform convergence of conditional distributions for absorbed one-dimensional diffusions
• Scaling limits of a model for selection at two scales

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