3 papers
math.AP2026
Existence of spot and lane stationary solutions for an ant active matter PDE model
Matthias Rakotomalala, Oscar de Wit
This paper studies the existence of multiple non-trivial stationary solutions of a partial differential equation (PDE) model introduced in [3], motivated by collective ant behavior…
math.AP2025
Existence and dimensional lower bound for the global attractor of a PDE model for ant trail formation
Matthias Rakotomalala, Oscar de Wit
We study the asymptotic behavior of a nonlinear PDE model for ant trail formation, which was introduced in [3]. We establish the existence of a compact global attractor and prove t…
math.NA2025
Convergence of a finite volume scheme for a model for ants
Maria Bruna, Markus Schmidtchen, Oscar de Wit
We develop and analyse a finite volume scheme for a nonlocal active matter system known to exhibit a rich array of complex behaviours. The model under investigation was derived fro…