3 papers
math.DS2026
Traveling fronts in a spatial epidemic model with slow loss of immunity
Rossella Della Marca, Gabriele Grifò, Annalisa Iuorio +1
We investigate the emergence of traveling front solutions in a spatial SIRS epidemic model with diffusion acting on the infected population. The model exhibits a natural slow-fast…
nlin.PS2026
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…
math.DS2024
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…