Kinetic compartmental models driven by opinion dynamics: vaccine hesitancy and social influence

A Bondesan, G Toscani, M Zanella - Mathematical Models and …, 2024 - World Scientific
We propose a kinetic model for understanding the link between opinion formation
phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine …

Derivation of macroscopic epidemic models from multi-agent systems

M Zanella - arxiv preprint arxiv:2410.08610, 2024 - arxiv.org
We present a systematic review of some basic results on the derivation of classical
epidemiological models from simple agent-based dynamics. The evolution of large …

Predictability of viral load kinetics in the early phases of SARS-CoV-2 through a model-based approach

A Bondesan, A Piralla, E Ballante, AMG Pitrolo… - arxiv preprint arxiv …, 2024 - arxiv.org
A pipeline to evaluate the evolution of viral dynamics based on a new model-driven
approach has been developed in the present study. The proposed methods exploit real data …

Effects of heterogeneous opinion interactions in many-agent systems for epidemic dynamics

S Bonandin, M Zanella - arxiv preprint arxiv:2311.08262, 2023 - arxiv.org
In this work we define a kinetic model for understanding the impact of heterogeneous
opinion formation dynamics on epidemics. The considered many-agent system is …

[PDF][PDF] Evaluations of heterogeneous epidemic models with exponential and non-exponential distributions for latent period: the Case of COVID-19

H Zang, S Liu, Y Lin - Mathematical Biosciences and Engineering, 2023 - aimspress.com
Most of heterogeneous epidemic models assume exponentially distributed sojourn times in
infectious states, which may not be practical in reality and could affect the dynamics of the …

Control of Overpopulated Tails in Kinetic Epidemic Models

M Zanella, A Medaglia - arxiv preprint arxiv:2501.05365, 2025 - arxiv.org
We introduce model-based transition rates for controlled compartmental models in
mathematical epidemiology, with a focus on the effects of control strategies applied to …

Impact of opinion formation phenomena in epidemic dynamics: kinetic modeling on networks

G Albi, E Calzola, G Dimarco, M Zanella - arxiv preprint arxiv:2409.17669, 2024 - arxiv.org
After the recent COVID-19 outbreaks, it became increasingly evident that individuals'
thoughts and beliefs can have a strong impact on disease transmission. It becomes …

Optimal control of a kinetic model describing social interactions on a graph

J Franceschi, N Loy - arxiv preprint arxiv:2409.13542, 2024 - arxiv.org
In this paper we introduce the optimal control of a kinetic model describing agents who
migrate on a graph and interact within its nodes exchanging a physical quantity. As a …

Robustness of feedback control for SIQR epidemic model under measurement uncertainty

S Atkins, M Malisoff - Mathematical Control and Related Fields, 2023 - aimsciences.org
We study a model for susceptible, infected, quarantined, and recovered (SIQR) populations,
in the presence of an infectious disease. The three feedback controls represent isolation …

Kinetic Equations for Many-Agent Systems On Large Networks: Emerging Patterns and Data-Oriented Approaches

J Franceschi - 2025 - iris.unipv.it
This thesis presents various kinetic models (mainly of Boltzmann-type) for multi-agent
systems over social networks. Each chapter is largely based on original work either …