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math.AP2025
Travelling front solutions in a spatially heterogeneous reaction-diffusion system
M. Chirilus-Bruckner, L. van Vianen, F. Veerman
We investigate a two-component reaction-diffusion system with a slow-fast structure and spatially varying coefficients and appearing in the slow equation. Under mild bo…
math.AP2019
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
Martina Chirilus-Bruckner, Peter van Heijster, Hideo Ikeda +1
This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum…
math.AP2018
Pulse solutions for an extended Klausmeier model with spatially varying coefficients
Robbin Bastiaansen, Martina Chirilus-Bruckner, Arjen Doelman
Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly perturbed reaction-advection-diffusion equation with spatially varying coefficients.…