41 citations · 180 across the 23 of their papers we have counts for
3 papers · 1 filter
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.…
Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems
Robbin Bastiaansen, Paul Carter, Arjen Doelman
In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stri…
The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space
Robbin Bastiaansen, Arjen doelman
We consider the evolution of multi-pulse patterns in an extended Klausmeier equation with parameters that change in time and/or space. We formally show that the full PDE dynamics o…