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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…
math.DS2025
A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework
Jacopo Borsotti, Mattia Sensi
We study a fast-slow version of the Bazykin-Berezovskaya predator-prey model with Allee effect evolving on two timescales, through the lenses of Geometric Singular Perturbation The…
math.DS2025
Non-Birkhoff periodic orbits in symmetric billiards
Casper Oelen, Bob Rink, Mattia Sensi
We study non-Birkhoff periodic orbits in symmetric convex planar billiards. Our main result provides a quantitative criterion for the existence of such orbits with prescribed minim…