The speed of invasion in an advancing population

Autor:	Bovier, Anton, Hartung, Lisa
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematics - Analysis of PDEs Quantitative Biology - Populations and Evolution 60J80 60G70 35C07 92D25
Druh dokumentu:	Working Paper
Popis:	We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. In that paper, it was noted that the speed of invasion by the mutant trait is faster faster when the resident population ist expanding in space compared to the speed when the resident population is already present everywhere. We use the Feynman-Kac representation to provide rigorous estimates that confirm these predictions. Comment: 23 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.11072 Zobrazit plný text záznamu View this record from Arxiv