The interplay between population genetics and diffusion with stochastic resetting

DOI10.1088/1751-8121/aaea8fzbMath1411.82027OpenAlexW2898544436MaRDI QIDQ4629633

Telles Timóteo Da Silva, Marcelo Dutra Fragoso

Publication date: 27 March 2019

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/aaea8f

zbMATH Keywords

diffusionFleming-Viot processesresettingOhta-Kimura model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Diffusion processes (60J60) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (7)

Diffusion with stochastic resetting of interacting particles emerging from a model of population genetics ⋮ Preface: stochastic resetting—theory and applications ⋮ On a diffusion which stochastically restarts from moving random spatial positions: a non-renewal framework ⋮ Stochastic resetting in interacting particle systems: a review ⋮ Stochastic resetting and applications ⋮ On diffusions with stochastic resettings: noisy restarts, optimal rates and interaction modelling ⋮ Aggregation with constant kernel under stochastic resetting

Cites Work

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• A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations
• Extinction of Fleming-Viot-type particle systems with strong drift
• Non-extinction of a Fleming-Viot particle model
• Sample paths of jump-type Fleming-Viot processes with bounded mutation operators
• Stochastic partial differential equations for some measure-valued diffusions
• The number of alleles in electrophoretic experiments
• Wandering distributions and the electrophoretic profile
• Inequalities for modified Bessel functions and their integrals
• Large deviation principle for some measure-valued processes
• A note on jump-type Fleming--Viot processes
• Diffusion with optimal resetting
• Diffusion under time-dependent resetting
• Interacting Brownian motion with resetting
• A path integral approach to age dependent branching processes
• Jump-type Fleming-Viot processes
• Fleming–Viot Processes in Population Genetics
• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
• On the differential equation satisfied by the random measure density of a jump-type Fleming–Viot process
• Diffusion with resetting in arbitrary spatial dimension
• Non-equilibrium steady states of stochastic processes with intermittent resetting
• A Fleming-Viot particle representation of the Dirichlet Laplacian

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