Towards a mathematical theory of behavioral human crowds

N Bellomo, L Gibelli, A Quaini, A Reali - Mathematical Models and …, 2022 - World Scientific
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …

On the modeling of crowd dynamics: Looking at the beautiful shapes of swarms

N Bellomo, A Bellouquid - Networks and Heterogeneous Media, 2011 - aimsciences.org
This paper presents a critical overview on the modeling of crowds and swarms and focuses
on a modeling strategy based on the attempt to retain the complexity characteristics of …

On the modelling crowd dynamics from scaling to hyperbolic macroscopic models

N Bellomo, C Dogbe - … Models and Methods in Applied Sciences, 2008 - World Scientific
This paper, that deals with the modelling of crowd dynamics, is the first one of a project
finalized to develop a mathematical theory refereing to the modelling of the complex systems …

Modeling crowd dynamics from a complex system viewpoint

N Bellomo, B Piccoli, A Tosin - Mathematical models and methods …, 2012 - World Scientific
This paper aims at indicating research perspectives on the mathematical modeling of crowd
dynamics, pointing on the one hand to insights into the complexity features of pedestrian …

On the interplay between behavioral dynamics and social interactions in human crowds

N Bellomo, L Gibelli, N Outada - arXiv preprint arXiv:1709.06603, 2017 - arxiv.org
This paper provides an overview and critical analysis on the modeling and applications of
the dynamics of human crowds, where social interactions can have an important influence …

[图书][B] Multiscale modeling of pedestrian dynamics

E Cristiani, B Piccoli, A Tosin - 2014 - books.google.com
This book presents mathematical models and numerical simulations of crowd dynamics. The
core topic is the development of a new multiscale paradigm, which bridges the microscopic …

On multiscale models of pedestrian crowds from mesoscopic to macroscopic

N Bellomo, A Bellouquid - Communications in Mathematical Sciences, 2015 - intlpress.com
This paper deals with the derivation of macroscopic equations from the underlying
mesoscopic description that is suitable for capturing the main features of pedestrian crowd …

First-order macroscopic modelling of human crowd dynamics

V Coscia, C Canavesio - … Models and Methods in Applied Sciences, 2008 - World Scientific
This paper deals with the mathematical modelling of crowd dynamics within the framework
of continuum mechanics. The method uses the mass conservation equation closed by …

[图书][B] Crowds in equations: an introduction to the microscopic modeling of crowds

B Maury, S Faure - 2018 - books.google.com
The book contains self-contained descriptions of existing models, accompanied by critical
analyses of their properties both from a theoretical and practical standpoint. It aims to …

Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints

E Cristiani, B Piccoli, A Tosin - … modeling of collective behavior in socio …, 2010 - Springer
This paper is concerned with mathematical modeling of intelligent systems, such as human
crowds and animal groups. In particular, the focus is on the emergence of different self …