31 citations · 54 across the 7 of their papers we have counts for
7 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…
Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model
Francesco Giannino, Annalisa Iuorio, Cinzia Soresina
Many mathematical models describing vegetation patterns are based on biomass--water interactions, due to the impact of this limited resource in arid and semi-arid environments. How…
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…
Single-spike solutions to the 1D shadow Gierer-Meinhardt problem
Annalisa Iuorio, Christian Kuehn
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the Gierer-Meinhardt system, which reduces to the shadow Gierer-Meinhardt problem in…
A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
Annalisa Iuorio, Gaspard Jankowiak, Peter Szmolyan +1
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and…
Modeling competitive interactions and plant-soil feedback in vegetation dynamics
Addolorata Marasco, Francesco Giannino, Annalisa Iuorio
Plant-soil feedback is recognized as a causal mechanism for the emergence of vegetation patterns of the same species especially when water is not a limiting resource (e.g. humid en…