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math.DS2026
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…
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
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…