On selection dynamics for a nonlocal phenotype-structured model
Year: 2025
Type: article
Abstract: This paper is devoted to the analysis of the long-time behavior of a phenotype-structured model in which phenotypic changes do not occur. We present a mathematical description of the process through which the best adapted trait is selected in a given environment created by the total population. It is demonstrated that the long-time limit of the unique solution to the nonlocal equation is represented by a delta Dirac concentrated on the set of x ’s where the peak of the fitness is attained. Furthermore, our numerical experiments provide a sufficient criterion to identify the positions of the peak. The obtained numerical results are in good qualitative agreement with theoretical studies and experimental data reported in the literature.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.696
Authors: Shen Bian, Jiale Bu
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: diamond
OpenAlex ID: W4408200768