The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model

DOI10.1080/03605302.2015.1116558zbMath1342.35159arXiv1407.3067OpenAlexW3105649428MaRDI QIDQ2810605

Julian Hofrichter, Tat Dat Tran, Juergen Jost

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3067

zbMATH Keywords

global solutionblow-upWright-Fisher modelbackward Kolmogorov equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

Eigenfunctions and the Dirichlet Problem for the Classical Kimura Diffusion Operator ⋮ Transition probabilities for degenerate diffusions arising in population genetics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The evolution of moment generating functions for the Wright-Fisher model of population genetics
• The transition function of a Fleming-Viot process
• Line-of-descent and genealogical processes, and their applications in population genetics models
• Formulas for diffusion approximations of some gene frequency models
• Lines of descent in the diffusion approximation of neutral Wright-Fisher models
• The coalescent
• Loss of variability at one locus in a finite population
• Ages, extinction times, and first passage probabilities for a multiallele diffusion model with irreversible mutation
• Mathematical methods in biology and neurobiology
• Exact solution of the multi-allelic diffusion model
• Wright–Fisher Diffusion in One Dimension
• Diffusion approximations of Markov chains with two time scales and applications to population genetics
• Transition Densities for Neutral Multi-Allele Diffusion Models
• A class of degenerate diffusion processes occurring in population genetics
• A transition density expansion for a multi-allele diffusion model
• Degenerate Diffusion Operators Arising in Population Biology
• SOLUTION OF A PROCESS OF RANDOM GENETIC DRIFT WITH A CONTINUOUS MODEL
• Partial Differential Equations
• Stochastic differential equations. An introduction with applications.

This page was built for publication: The uniqueness of hierarchically extended backward solutions of the Wright–Fisher model