Kinetic models for epidemic dynamics in the presence of opinion polarization

M Zanella - Bulletin of Mathematical Biology, 2023 - Springer
Understanding the impact of collective social phenomena in epidemic dynamics is a crucial
task to effectively contain the disease spread. In this work, we build a mathematical …

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

A Bondesan, G Toscani, M Zanella - arXiv preprint arXiv:2310.19601, 2023 - arxiv.org
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 …

A kinetic framework under the action of an external force field: Analysis and application in epidemiology

M Menale, CF Munafò - Chaos, Solitons & Fractals, 2023 - Elsevier
The tools of kinetic theory allow to describe the dynamics and evolution of a system
composed of stochastically interacting particles. The interaction is modeled by means of two …

A nonconservative kinetic framework under the action of an external force field: Theoretical results with application inspired to ecology

B Carbonaro, M Menale - European Journal of Applied Mathematics, 2023 - cambridge.org
The present paper deals with the kinetic-theoretic description of the evolution of systems
consisting of many particles interacting not only with each other but also with the external …

Modelling the impact of opinion flexibility on the vaccination choices during epidemics

R Della Marca, M Menale - Ricerche di Matematica, 2024 - Springer
Spontaneous behavioural responses of individuals to epidemics are a relevant factor in the
understanding of infection dynamics. In this work, we consider a vaccine–preventable …

[HTML][HTML] A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response

M Menale, R Travaglini - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper, we develop a nonconservative kinetic framework to be applied to the study of
immune system dysregulation. From the modeling viewpoint, the model regards a system …

A kinetic theory approach to modeling prey–predator ecosystems with expertise levels: analysis, simulations and stability considerations

M Menale, E Venturino - Computational and Applied Mathematics, 2024 - Springer
In this paper a kinetic modeling approach for an ecological system is proposed, based on
the prey–predator structure in terms of individuals experience. Specifically, a system of …

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 …

A kinetic model with time‐dependent proliferative/destructive rates

M Menale, AJ Soares - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
This paper presents a new kinetic model with time‐dependent proliferative/destructive
parameters, where the activity variable of the system attains its values in a discrete real …

Incorporating changeable attitudes toward vaccination into an SIR infectious disease model

Y Jiang, KM Kurianski, JH Lee, Y Ma, D Cicala… - arXiv preprint arXiv …, 2024 - arxiv.org
We develop a mechanistic model that classifies individuals both in terms of epidemiological
status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how …