Year: 2025
Type: article
Abstract: . We consider the evolutive chemostat model with a continuous phenotypic trait of the microorganisms that impacts both the specific growth rate and the yield conversion, and whose evolution is driven by a mutation kernel. We study the evolutionary attractors (EAs) for a general class of nonlinear growth functions, without assuming that the dynamics of the resource is fast compared to the growth. We generalize the well-known reproduction number as a function of the trait, and show a concentration of the asymptotic state on values of the trait that maximize the reproduction number. However, in the case of multiple maxima, we show that the system can have a unique globally stable EA, depending on a total order defined on the trait values.
DOI: 10.1137/24m1706001
Institutions: Centre National de la Recherche Scientifique, Maladies Infectieuses et Vecteurs: Écologie, Génétique, Évolution et Contrôle, École Polytechnique de Thiès, Institut de Recherche pour le Développement, Normandie Université, Laboratoire de Mathématiques Appliquées du Havre, Institut Agro Montpellier, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Mathématiques, Informatique et Statistique pour l'Environnement et l'Agronomie
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: green
OpenAlex ID: W4403407071