30 citations · 51 across the 7 of their papers we have counts for
8 papers
Constructing far-from-equilibrium patterns in a cross-diffusion vegetation-autotoxicity model
Annalisa Iuorio, Cinzia Soresina, Frits Veerman
Using geometric singular perturbation theory, we construct stationary, periodic, front-type far-from-equilibrium patterns in a cross-diffusion model for plant growth under the infl…
How inertia affects autotoxicity-mediated vegetation dynamics: from close-to to far-from-equilibrium patterns
Giancarlo Consolo, Carmela Currò, Gabriele Grifò +3
In this work, the influence of inertial effects on the formation and evolution of vegetation patterns on sloped arid terrains is investigated from the onset of instability to far-f…
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…
Far-from-equilibrium travelling pulses in sloped semi-arid environments driven by autotoxicity effects
Gabriele Grifò, Annalisa Iuorio, Frits Veerman
In this work, an extension of the 1D Klausmeier model that accounts for the toxicity compounds is considered and the occurrence of travelling stripes is investigated. Numerical sim…
Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model
Paul Carter, Arjen Doelman, Annalisa Iuorio +1
Reaction-diffusion models describing interactions between vegetation and water reveal the emergence of several types of patterns and travelling wave solutions corresponding to stru…
Controlling pulse stability in singularly perturbed reaction-diffusion systems
Frits Veerman, Isabelle Schneider
The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localised coherent structures in a general class of two-component, singularly per…
Robust Stability of Multicomponent Membranes: the Role of Glycolipids
Yuan Chen, Arjen Doelman, Keith Promislow +1
We present the multicomponent functionalized free energies that characterize the low-energy packings of amphiphilic molecules within a membrane through a correspondence to connecti…
A predator-2 prey fast-slow dynamical system for rapid predator evolution
Sofia H. Piltz, Frits Veerman, Philip K. Maini +1
We consider adaptive change of diet of a predator population that switches its feeding between two prey populations. We develop a novel 1 fast--3 slow dynamical system to describe…