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

DOI10.1142/S0218202521400030zbMath1473.35584arXiv2012.08108OpenAlexW3155219053WikidataQ114371365 ScholiaQ114371365MaRDI QIDQ5164232

Kaylie O'Connell, Daewa Kim, William Ott, Annalisa Quaini

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08108

zbMATH Keywords

complex systemskinetic modelcrowd dynamicsevacuationfear propagation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Social and behavioral sciences: general topics (91C99) Genetics and population dynamics (92D99) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (11)

A kinetic modeling of crowd evacuation with several groups in complex venues ⋮ A 2D Kinetic Model for Crowd Dynamics with Disease Contagion ⋮ Towards a mathematical theory of behavioral human crowds ⋮ Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks ⋮ Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations ⋮ On the mathematical theory of behavioral swarms emerging collective dynamics ⋮ Human behavioral crowds review, critical analysis and research perspectives ⋮ Editorial: Active particle models and methods in science and society ⋮ A kinetic theory approach to model pedestrian social groups behavior in bounded domain ⋮ Collective dynamics in science and society ⋮ What is life? A perspective of the mathematical kinetic theory of active particles

Cites Work

• Unnamed Item
• A hierarchy of heuristic-based models of crowd dynamics
• On multiscale models of Pedestrian crowds from mesoscopic to macroscopic
• The mathematical theory of dilute gases
• Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics
• A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles
• On the interplay between behavioral dynamics and social interactions in human crowds
• Contagion shocks in one dimension
• A quest towards a mathematical theory of living systems
• Modeling cooperative and competitive behaviors in emergency evacuation: a game-theoretical approach
• Multiscale modeling of pedestrian dynamics
• From the Microscale to Collective Crowd Dynamics
• Continuum dynamics of the intention field under weakly cohesive social interaction
• Efficient numerical methods for multiscale crowd dynamics with emotional contagion
• Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds
• T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
• A unified multiscale vision of behavioral crowds
• A kinetic theory approach to the dynamics of crowd evacuation from bounded domains

This page was built for publication: A kinetic theory approach for 2D crowd dynamics with emotional contagion