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 …

A kinetic theory approach to model pedestrian dynamics in bounded domains with obstacles

D Kim, A Quaini - arXiv preprint arXiv:1901.07620, 2019 - arxiv.org
We consider a kinetic theory approach to model the evacuation of a crowd from bounded
domains. The interactions of a person with other pedestrians and the environment, which …

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 …

Animal dynamics based approach for modeling pedestrian crowd egress under panic conditions

N Shiwakoti, M Sarvi, G Rose, M Burd - Procedia-social and behavioral …, 2011 - Elsevier
Collective movement is important during emergencies such as natural disasters or terrorist
attacks, when rapid egress is essential for escape. The development of quantitative theories …

A discrete mathematical model for the dynamics of a crowd of gazing pedestrians with and without an evolving environmental awareness

A Colombi, M Scianna, A Alaia - Computational and Applied Mathematics, 2017 - Springer
In this article, we present a microscopic-discrete mathematical model describing crowd
dynamics in no panic conditions. More specifically, pedestrians are set to move in order to …

Macroscopic models for pedestrian flows

RM Colombo, P Goatin, G Maternini… - Big events and …, 2010 - inria.hal.science
In this paper we present macroscopic models for pedestrian flows that recently appeared in
the literature. The first one was proposed by Colombo, Rosini, 2005. In a 1D setting, this …

Simulation of high density pedestrian flow: Microscopic model

MH Dridi - arXiv preprint arXiv:1501.06496, 2015 - arxiv.org
In recent years modelling crowd and evacuation dynamics has become very important, with
increasing huge numbers of people gathering around the world for many reasons and …

Simple heuristics and the modelling of crowd behaviours

M Moussaïd, JD Nelson - Pedestrian and Evacuation Dynamics 2012, 2014 - Springer
A crowd of pedestrians is a complex system that exhibits a rich variety of self-organized
collective behaviors, such as lane formation, stop-and-go waves, or crowd turbulence …

Fear propagation and the evacuation dynamics

FE Cornes, GA Frank, CO Dorso - Simulation Modelling Practice and …, 2019 - Elsevier
Fear may spread over a crowd in a similar fashion as contagious diseases do in social
groups. People in a life-threatening situation may express fear alerting others of imminent …

A kinetic theory approach to the dynamics of crowd evacuation from bounded domains

JP Agnelli, F Colasuonno, D Knopoff - Mathematical Models and …, 2015 - World Scientific
A mathematical model of the evacuation of a crowd from bounded domains is derived by a
hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which …