[PDF][PDF] Human behavioral crowds review, critical analysis and research perspectives
1612 N. Bellomo et al. the modeling of traffic and crowds: A survey of models, speculations,
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research …
[HTML][HTML] Data-driven mathematical modeling approaches for COVID-19: A survey
J Demongeot, P Magal - Physics of Life Reviews, 2024 - Elsevier
In this review, we successively present the methods for phenomenological modeling of the
evolution of reported and unreported cases of COVID-19, both in the exponential phase of …
evolution of reported and unreported cases of COVID-19, both in the exponential phase of …
Optimal control of epidemic spreading in the presence of social heterogeneity
The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical
interventions. In particular, the most effective measures in this direction have been the stay …
interventions. In particular, the most effective measures in this direction have been the stay …
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 …
task to effectively contain the disease spread. In this work, we build a mathematical …
Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics
In this survey we report some recent results in the mathematical modelling of epidemic
phenomena through the use of kinetic equations. We initially consider models of interaction …
phenomena through the use of kinetic equations. We initially consider models of interaction …
New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet
G Bertaglia, A Bondesan, D Burini, R Eftimie… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper presents a critical analysis of the literature and perspective research ideas for
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
Kinetic compartmental models driven by opinion dynamics: vaccine hesitancy and social influence
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 …
phenomena and epidemic dynamics. The recent pandemic has brought to light that vaccine …
Uncertainty quantification for ecological models with random parameters
There is often considerable uncertainty in parameters in ecological models. This uncertainty
can be incorporated into models by treating parameters as random variables with …
can be incorporated into models by treating parameters as random variables with …
Modeling nonlocal behavior in epidemics via a reaction–diffusion system incorporating population movement along a network
The outbreak of COVID-19, beginning in 2019 and continuing through the time of writing,
has led to renewed interest in the mathematical modeling of infectious disease. Recent …
has led to renewed interest in the mathematical modeling of infectious disease. Recent …
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 …
epidemiological models from simple agent-based dynamics. The evolution of large …