ArticleJournal of mathematical biology2021
Kinetic models for epidemic dynamics with social heterogeneity.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Integrating viral kinetics and population spread in a one health framework to explain variant-specific epidemic dynamics.One health (Amsterdam, Netherlands) · 2026Article
- On the Analysis of Wealth Distribution in the Context of Infectious Diseases.Entropy (Basel, Switzerland) · 2024Article
- Role of Vaccination Strategies to Host-Pathogen Dynamics in Social Interactions.Entropy (Basel, Switzerland) · 2024Article
- Article
- Kinetic Models for Epidemic Dynamics in the Presence of Opinion Polarization.Bulletin of mathematical biology · 2023Article
- An SIR model with viral load-dependent transmission.Journal of mathematical biology · 2023Article
- Epidemic modeling with heterogeneity and social diffusion.Journal of mathematical biology · 2023Article
- Kinetic exchange models of societies and economies.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2022Article
- Effects of Vaccination Efficacy on Wealth Distribution in Kinetic Epidemic Models.Entropy (Basel, Switzerland) · 2022Article
- From agent-based models to the macroscopic description of fake-news spread: the role of competence in data-driven applications.SN partial differential equations and applications · 2022Article
Corrections and comments
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Authors and funding
4 authors.
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Abstract
We introduce a mathematical description of the impact of the number of daily contacts in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study the evolution over time of Boltzmann-type equations describing the number densities of social contacts of susceptible, infected and recovered individuals, whose proportions are driven by a classical SIR-type compartmental model in epidemiology. Explicit calculations show that the spread of the disease is closely related to moments of the contact distribution. Furthermore, the kinetic model allows to clarify how a selective control can be assumed to achieve a minimal lockdown strategy by only reducing individuals undergoing a very large number of daily contacts. We conduct numerical simulations which confirm the ability of the model to describe different phenomena characteristic of the rapid spread of an epidemic. Motivated by the COVID-19 pandemic, a last part is dedicated to fit numerical solutions of the proposed model with infection data coming from different European countries.
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