On the modelling of vehicular traffic and crowds by kinetic theory of active particles
From MaRDI portal
Publication:3084766
DOI10.1007/978-0-8176-4946-3_11zbMath1211.91210OpenAlexW76952106MaRDI QIDQ3084766
Abdelghani Bellouquid, Nicola Bellomo
Publication date: 25 March 2011
Published in: Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-8176-4946-3_11
Stochastic games, stochastic differential games (91A15) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Applications of statistical mechanics to specific types of physical systems (82D99) Mathematical sociology (including anthropology) (91D99) Heterogeneous agent models (91B69)
Related Items (6)
MODELING CROWD DYNAMICS FROM A COMPLEX SYSTEM VIEWPOINT ⋮ Active Crowds ⋮ Generalized collision-free velocity model for pedestrian dynamics ⋮ A discrete mathematical model for the dynamics of a crowd of gazing pedestrians with and without an evolving environmental awareness ⋮ On the modeling of crowd dynamics: an overview and research perspectives ⋮ On the modelling of crowd dynamics by generalized kinetic models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the mathematical theory of vehicular traffic flow. II: Discrete velocity kinetic models
- On the modeling of granular traffic flow by the kinetic theory for active particles trend to equilibrium and macroscopic behavior
- From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
- Pedestrian flows in bounded domains with obstacles
- From generalized kinetic theory to discrete velocity modeling of vehicular traffic. A stochastic game approach
- Modelling and simulation of vehicular traffic jam formation
- Critical analysis and perspectives on the hydrodynamic approach for the mathematical theory of vehicular traffic
- On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors
- Double milling in self-propelled swarms from kinetic theory
- A dynamical systems approach based on averaging to model the macroscopic flow of freeway traffic
- Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges
- Enskog-like kinetic models for vehicular traffic
- Traveling-wave solutions of the diffusively corrected kinematic-wave model
- A personalized kinetic model of traffic flow
- Modelling and simulations of multilane traffic flow by kinetic theory methods
- From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium
- A model for the formation and evolution of traffic jams
- Modeling complex living systems. A kinetic theory and stochastic game approach.
- Mathematical models for vehicular traffic
- State transitions and the continuum limit for a 2D interacting, self-propelled particle system
- On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
- Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
- TRAFFIC, CROWDS, AND SWARMS
- STOCHASTIC DYNAMICS OF VISCOELASTIC SKEINS: CONDENSATION WAVES AND CONTINUUM LIMITS
- CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION
- FIRST-ORDER MACROSCOPIC MODELLING OF HUMAN CROWD DYNAMICS
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- A TRAFFIC-FLOW MODEL WITH CONSTRAINTS FOR THE MODELING OF TRAFFIC JAMS
- ON THE MODELLING CROWD DYNAMICS FROM SCALING TO HYPERBOLIC MACROSCOPIC MODELS
- ON THE CRITICAL EXPONENT FOR FLOCKS UNDER HIERARCHICAL LEADERSHIP
- Optimal self-organization
- T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
- Mathematical tools for kinetic equations
- Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
- GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS
- Swarming Patterns in a Two-Dimensional Kinematic Model for Biological Groups
- Emergent Behavior in Flocks
- HYBRID TWO SCALES MATHEMATICAL TOOLS FOR ACTIVE PARTICLES MODELLING COMPLEX SYSTEMS WITH LEARNING HIDING DYNAMICS
- MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH
This page was built for publication: On the modelling of vehicular traffic and crowds by kinetic theory of active particles
