On the Fisher infinitesimal model without variability

DOI10.1007/s10955-024-03386-6MaRDI QIDQ6671826

Cécile Taing, Amic Frouvelle

Publication date: 27 January 2025

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorintegro-differential equationFourier-based distancestructured and sexual population dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Integro-differential operators (47G20) Self-similar solutions to PDEs (35C06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A rigorous model study of the adaptive dynamics of Mendelian diploids
• Dynamics of sexual populations structured by a space variable and a phenotypical trait
• Local stability of perfect alignment for a spatially homogeneous kinetic model
• Asymptotic properties of the inelastic Kac model
• Self-similarity and power-like tails in nonconservative kinetic models
• Metrics for probability distributions and the trend to equilibrium for solutions of the Boltzmann equation.
• A stochastic model for speciation by mating preferences
• The infinitesimal model: definition, derivation, and implications
• A stochastic model for reproductive isolation under asymmetrical mating preferences
• A velocity alignment collision model for spatially homogeneous kinetic collective dynamics
• Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal?
• Selection-mutation dynamics with asymmetrical reproduction kernels
• Asymptotic analysis of a quantitative genetics model with nonlinear integral operator
• On steady distributions of kinetic models of conservative economies
• The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
• Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria
• Transport distances for PDEs: the coupling method
• Replicator-mutator equations with quadratic fitness
• KINETICS MODELS OF INELASTIC GASES
• A Nonexpanding Transport Distance for Some Structured Equations
• Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction
• Explicit Solutions for Replicator-Mutator Equations: Extinction versus Acceleration
• Mathematical Properties of a Class of Integro-differential Models from Population Genetics
• Measure Theory
• Ergodicity of the Fisher infinitesimal model with quadratic selection
• Fast, slow convergence, and concentration in the house of cards replicator-mutator model.
• The Cauchy problem for the infinitesimal model in the regime of small variance

This page was built for publication: On the Fisher infinitesimal model without variability