Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations

Andrea Medaglia; Mattia Zanella

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arXiv · 2111.05563

Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations

Andrea Medaglia·Mattia Zanella

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Abstract

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.

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Andrea Medaglia, Mattia Zanella. 2021-11-10. Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations. https://arxiv.org/abs/2111.05563

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