9 papers · 1 filter
A three population Lotka-Volterra competition model with two populations interacting through an interface
Pablo Álvarez-Caudevilla, Cristina Brändle, Mónica Molina-Becerra +1
In this work we consider three species competing with each other in the same habitat. One of the species lives in the entire habitat, competing with the other two species, while th…
Interface logistic problems: large diffusion and singular perturbation results
Pablo Álvarez-Caudevilla, Cristina Brändle, Mónica Molina-Becerra +1
In this work we consider an interface logistic problem where two populations live in two different regions, separated by a membrane or interface where it happens an interchange of…
Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials
Pablo Àlvarez-Caudevilla, Matthieu Bonnivard, Antoine Lemenant
In this paper, we observe how the heat equation in a non-cylindrical domain can arise as the asymptotic limit of a parabolic problem in a cylindrical domain, by adding a potential…
Asymptotic behaviour for a class of quasilinear cooperative eigenvalue problems
Pablo Alvarez-Caudevilla
This work is devoted to the analysis of the asymptotic behaviour of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative p…
A stationary population model with an interior interface-type boundary
Pablo Alvarez-Caudevilla, Cristina Brändle
We propose a stationary system that might be regarded as a migration model of some population abandoning their original place of abode and becoming part of another population, once…
On an n-dimensional fourth-order system under a parametric condition
Pablo Álvarez-Caudevilla, Cristina Brändle, Devashish Sonowal
We establish the existence of positive solutions for a system of coupled fourth-order partial differential equations on a bounded domain \begin{align*} \left…