2 papers
math.DS2026
Busse balloon deformation and splitting by non-local interaction: the influence of grazing on a Klausmeier vegetation model
Eric Siero, Hannes Uecker
Large areas on all continents except Antarctica are covered by dryland vegetation patterns, with wavelengths typically in the range of tens of meters. In models, many wavelengths a…
math.AP2024
Blurring the Busse balloon: Patterns in a stochastic Klausmeier model
Christian Hamster, Peter van Heijster, Eric Siero
We investigate (in)stabilities of periodic patterns under stochastic forcing in reaction-diffusion equations exhibiting a so-called Busse balloon. Specifically, we used a one-dimen…