Population models with an interface region inside the domain

Date/heure
13 février 2024
10:45 - 11:45

Lieu
Salle de conférences Nancy

Oratrice ou orateur
Pablo Alvarez Caudevilla (Madrid)

Catégorie d'évènement
Séminaire Équations aux Derivées Partielles et Applications (Nancy)


Résumé

We will discuss several models that might be regarded as migration models of populations moving from one part of a domain to the other and becoming part of the population living on the other side. Different situations assuming symmetry of movement between both sides of the domain, following a logistic model in their own environment and assuming spatial heterogeneities, are going to be discussed. Through such a common boundary both populations are coupled, acting as a permeable membrane on which their flow moves in and out. We will describe the precise interplay between the stationary solutions with respect to the parameters involved in the problem, in particular the growth rate of the populations and the coupling parameter involved on the boundary where the interchange of flux is taking place.