5 papers
Kinetic models of opinion-driven epidemic dynamics modulated by graphons
Andrea Bondesan, Jacopo Borsotti, Mattia Fontana
We introduce new kinetic equations to describe epidemics' spread while accounting for individuals' opinions on protective behaviors. Opinion exchanges occur on a social network rep…
Control strategies and trends to equilibrium for kinetic models of opinion dynamics driven by social activity
Andrea Bondesan, Jacopo Borsotti
We introduce new kinetic equations modeling opinion dynamics inside a population of individuals, whose propensity to interact with each other is described by their level of social…
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 hospital…