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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…
Lotka-Volterra-type kinetic equations for interacting species
Andrea Bondesan, Marco Menale, Giuseppe Toscani +1
In this work, we examine a kinetic framework for modeling the time evolution of size distribution densities of two populations governed by predator-prey interactions. The model bui…
Explicit spectral gap estimates for the linearized Boltzmann operator modeling reactive gaseous mixtures
Andrea Bondesan, Bao Quoc Tang
We consider hard-potential cutoff multi-species Boltzmann operators modeling microscopic binary elastic collisions and bimolecular reversible chemical reactions inside a gaseous mi…