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math.AP2024
Curvature in chemotaxis: A model for ant trail pattern formation
Charles Bertucci, Matthias Rakotomalala, Milica Tomasevic
In this paper, we propose a new model of chemotaxis motivated by ant trail pattern formation, formulated as a coupled parabolic-parabolic local PDE system, for the population densi…
math.AP2024
Strategic geometric graphs through mean field games
Charles Bertucci, Matthias Rakotomalala
We exploit the structure of geometric graphs on Riemannian manifolds to analyze strategic dynamic graphs at the limit, when the number of nodes tends to infinity. This framework al…