4 papers · 1 filter
The entry-exit function and nilpotent corrections in multidimensional slow-fast systems
Jacopo Borsotti
We study multidimensional entry-exit phenomena in slow-fast systems whose fast linearization contains a nilpotent component. We show that the classical spectral balance still deter…
Slow-fast dynamics in a planar parasite--host model with an extinction singularity
Jacopo Borsotti, Hildeberto Jardón-Kojakhmetov, Mattia Sensi
We study a slow-fast parasite--host model featuring a singularity at the extinction state. Using techniques from Geometric Singular Perturbation Theory (GSPT), and in particular th…
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…
An SIRS model with hospitalizations: economic impact by disease severity
Jacopo Borsotti
We introduce a two-timescale SIRS-type model in which a fraction of infected individuals experiences a severe course of the disease, requiring hospitalization. During hospitali…