Existence and uniqueness of solutions for a diffusion model of intergroup selection
type: Item
instance of: scholarly article
title: Existence and uniqueness of solutions for a diffusion model of intergroup selection
zbMATH Open document ID: 0615.92010
author: Norio Shimakura
published in: Journal of Mathematics of Kyoto University
publication date: 1985-01-01T00:00:00Z
review text: The author considers an initial boundary value problem as a diffusion model of intergroup selection in population genetics. The author proves the existence of solutions and, under a stronger assumption, the uniqueness of the solution to this general class of diffusion models. The equation is nonlinear, however the nonlinearity is not so strong that it cannot be treated using linear methods.
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K50
zbMATH DE Number: 3997598
zbMATH Keywords: approximative solutions
zbMATH Keywords: moment sequences
zbMATH Keywords: diffusion model of intergroup selection
zbMATH Keywords: population genetics
zbMATH Keywords: existence of solutions
zbMATH Keywords: uniqueness of the solution
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250521024
OpenAlex ID: W1480060538
DOI: 10.1215/KJM/1250521024
description: scientific article; zbMATH DE number 3997598