Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations

Andrea Medaglia, Mattia Zanella

Preprint arXiv, 2021.

We study the impact of contact heterogeneity on epidemic dynamics. A system characterized by multiple susceptible populations is considered. The description of the spread of an infectious disease is obtained through the study of a system of Boltzmann-type equations for the number densities of social contacts of the introduced compartments. A macroscopic system of equations characterizing observable effects of the epidemic is then derived to assess the impact of contact heterogeneity.