30 citations · 51 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…