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math.NA2024
A finite volume scheme for the local sensing chemotaxis model
Maxime Herda, Ariane Trescases, Antoine Zurek
In this paper we design, analyze and simulate a finite volume scheme for a cross-diffusion system which models chemotaxis with local sensing. This system has the same Lyapunov func…
math.AP2024★ 1 cited
A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system
Ansgar Jüngel, Martin Vetter, Antoine Zurek
A cross-diffusion system with Lotka-Volterra reaction terms in a bounded domain with no-flux boundary conditions is analyzed. The system is a nonlocal regularization of a generaliz…