3 papers
math.DS2020
The existence of localized vegetation patterns in a systematically reduced model for dryland vegetation
Olfa Jaibi, Arjen Doelman, Martina Chirilus-Bruckner +1
In this paper we consider the 2-component reaction-diffusion model that was recently obtained by a systematic reduction of the 3-component Gilad et al. model for dryland ecosystem…
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.…