Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations

2021/11/10 by Andrea Medaglia, Medaglia, Andrea, Mattia Zanella +1
Mathematics · Medicine · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #COVID-19 epidemiological studies #Complex Network Analysis Techniques #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE) #Quantitative Methods (q-bio.QM)

paper · pdf · doi:10.48550/arxiv.2111.05563

openalex publication_date 2021/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Kinetic models for epidemic dynamics with social heterogeneity
• Derivation of macroscopic epidemic models from multi-agent systems
• Impact of fluctuations in social contacts on the spread of epidemics
• The effect of host population heterogeneity on epidemic outbreaks
• A deterministic epidemic model taking account of repeated contacts between the same individuals