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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…