3 papers
math.AP2026
A structured model of vector-borne disease with within-host viral load and antibody dynamics
Paulo Amorim, Maria Soledad Aronna, Debora de Oliveira Medeiros
We present an epidemiological model for vector-borne diseases that includes within-host viral load and antibody dynamics using structured transport equations. By incorporating the…
math.AP2026
The obstacle problem for scalar conservation laws with nonlocal dynamics
Paulo Amorim, Alexander Keimer, Lukas Pflug +1
In this article, we present a method to find a solution to a one-dimensional nonlocal conservation law that respects a space-dependent mapping, referred to as the obstacle. This is…
math.AP2015
Analysis of a chemotaxis system modeling ant foraging
Ricardo Alonso, Paulo Amorim, Thierry Goudon
In this paper we analyze a system of PDEs recently introduced in [P. Amorim, {\it Modeling ant foraging: a {chemotaxis} approach with pheromones and trail formation}], in order to…