A spatial kinetic model of crowd evacuation dynamics with infectious disease contagion

JP Agnelli, B Buffa, D Knopoff, G Torres - Bulletin of Mathematical Biology, 2023 - Springer
This paper proposes a kinetic theory approach coupling together the modeling of crowd
evacuation from a bounded domain with exit doors and infectious disease contagion. The …

Coupling kinetic theory approaches for pedestrian dynamics and disease contagion in a confined environment

D Kim, A Quaini - Mathematical Models and Methods in Applied …, 2020 - World Scientific
The goal of this work is to study an infectious disease spreading in a medium size
population occupying a confined environment. For this purpose, we consider a kinetic theory …

A 2D kinetic model for crowd dynamics with disease contagion

D Kim, A Quaini - Predicting Pandemics in a Globally Connected World …, 2022 - Springer
We focus on the modeling and simulation of an infectious disease spreading in a medium
size population occupying a confined environment, such as an airport terminal, for short …

Human behavior in epidemic modelling

P Poletti - 2010 - eprints-phd.biblio.unitn.it
Mathematical models represent a powerful tool for investigating the dynamics of human
infection diseases, providing useful predictions about the spread of a disease and the …

Kinetic models for epidemic dynamics with social heterogeneity

G Dimarco, B Perthame, G Toscani… - Journal of Mathematical …, 2021 - Springer
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 …

A kinetic theory approach for 2D crowd dynamics with emotional contagion

D Kim, K O'Connell, W Ott, A Quaini - Mathematical Models and …, 2021 - World Scientific
In this paper, we present a computational modeling approach for the dynamics of human
crowds, where the spreading of an emotion (specifically fear) has an influence on the …

[HTML][HTML] Discrete kinetic theory for 2D modeling of a moving crowd: Application to the evacuation of a non-connected bounded domain

A Elmoussaoui, P Argoul, M El Rhabi… - Computers & Mathematics …, 2018 - Elsevier
This paper concerns the mathematical modeling of the motion of a crowd in a non connected
bounded domain, based on kinetic and stochastic game theories. The proposed model is a …

Multiscale model for the optimal design of pedestrian queues to mitigate infectious disease spread

P Derjany, S Namilae, D Liu, A Srinivasan - PLoS one, 2020 - journals.plos.org
There is direct evidence for the spread of infectious diseases such as influenza, SARS,
measles, and norovirus in locations where large groups of people gather at high densities …

Intransigent vs. volatile opinions in a kinetic epidemic model with imitation game dynamics

R Della Marca, N Loy, M Menale - … and Biology: A Journal of the …, 2023 - academic.oup.com
In the mathematical epidemiology community, there is an increasing interest in shaping the
complex interplay between human behaviour and disease spreading. We give a contribution …

[HTML][HTML] Modelling epidemic spreading in structured organisations

V Kuikka - Physica A: Statistical Mechanics and its Applications, 2022 - Elsevier
Modelling epidemic spreading in a population or in organisations is important in planning
preventive measures and allocating resources for treating infected individuals in hospitals …