Natural selection in spatially structured populations

DOI10.4171/icm2022/195OpenAlexW4389819995MaRDI QIDQ6118122

Alison M. Etheridge

Publication date: 20 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/icm2022/195

zbMATH Keywords

blockinggenetic driftnatural selectionspatial structure

Mathematics Subject Classification ID

Problems related to evolution (92D15) Reaction-diffusion equations (35K57) Applications of stochastic analysis (to PDEs, etc.) (60H30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Unnamed Item
• Unnamed Item
• The Brownian net and selection in the spatial \(\Lambda\)-Fleming-Viot process
• Recursive tree processes and the mean-field limit of stochastic flows
• The singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system
• A new model for evolution in a spatial continuum
• Reaction-diffusion equations for interacting particle systems
• The heat equation shrinks embedded plane curves to round points
• Generation and propagation of interfaces for reaction-diffusion equations
• Motion of multiple junctions: A level set approach
• Branching Brownian motion and selection in the spatial \(\Lambda\)-Fleming-Viot process
• Branching Brownian motion, mean curvature flow and the motion of hybrid zones
• Stochastic p.d.e.'s arising from the long range contact and long range voter processes
• Rescaling limits of the spatial Lambda-Fleming-Viot process with selection
• The speed of a random front for stochastic reaction-diffusion equations with strong noise
• The KPP equation as a scaling limit of locally interacting Brownian particles
• Genealogical constructions of population models
• Front blocking and propagation in cylinders with varying cross section
• Approximations of small jumps of Lévy processes with a view towards simulation
• Convergence of solutions of the Kolmogorov equation to travelling waves
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Voter Model Perturbations and Reaction Diffusion Equations
• Branching Diffusion Processes

This page was built for publication: Natural selection in spatially structured populations