Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer

DOI10.1214/20-AAP1635zbMath1476.60152arXiv1901.02385MaRDI QIDQ2240870

Viet Chi Tran, Nicolas Champagnat, Sylvie Méléard

Publication date: 4 November 2021

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

Full work available at URL: https://arxiv.org/abs/1901.02385

zbMATH Keywords

couplinglong time behaviorbacterial conjugationhorizontal gene transferbranching processes with immigrationlarge population approximationlogistic competitionstochastic individual-based models

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations ⋮ Quasi-equilibria and click times for a variant of Muller's ratchet ⋮ Multiscale eco-evolutionary models: from individuals to populations ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ Unnamed Item

Cites Work

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• The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism
• Traveling waves of selective sweeps
• Polymorphic evolution sequence and evolutionary branching
• Necessary and sufficient conditions for evolutionary suicide
• Stochastic dynamics for adaptation and evolution of microorganisms
• Crossing a fitness valley as a metastable transition in a stochastic population model
• From adaptive dynamics to adaptive walks
• Adaptation in a stochastic multi-resources chemostat model
• A microscopic interpretation for adaptive dynamics trait substitution sequence models

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