On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Modelling and simulation of vehicular traffic jam formation

(2011) Marcello Delitala et al.   Kinetic and Related Models

Time-Evolving Measures and Macroscopic Modeling of Pedestrian Flow

(2010) Benedetto Piccoli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Pedestrian flows in bounded domains with obstacles

(2009) Benedetto Piccoli et al.   CONTINUUM MECHANICS AND THERMODYNAMICS

Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling

(2009) Christophe Chalons et al.   INTERFACES AND FREE BOUNDARIES

Time-varying Riemann solvers for conservation laws on networks

(2009) Mauro Garavello et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle–driver behaviors

(2009) I. Bonzani et al.   MATHEMATICAL AND COMPUTER MODELLING

MATHEMATICS AND COMPLEXITY IN LIFE AND HUMAN SCIENCES

(2009) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ON THE CRITICAL EXPONENT FOR FLOCKS UNDER HIERARCHICAL LEADERSHIP

(2009) FELIPE CUCKER et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Traffic flow on a toll highway with electronic and traditional tollgates

(2009) Kazuhito Komada et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Complexity analysis and mathematical tools towards the modelling of living systems☆

(2009) N. Bellomo et al.   Physics of Life Reviews

Crowd-structure interaction in lively footbridges under synchronous lateral excitation: A literature review

(2009) Fiammetta Venuti et al.   Physics of Life Reviews

Lateral excitation of bridges by balancing pedestrians

(2009) J. H.G Macdonald   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Experimental study of the behavioural mechanisms underlying self-organization in human crowds

(2009) M. Moussaid et al.   PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES

Modelling and simulations of multilane traffic flow by kinetic theory methods

(2008) I. Bonzani et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the numerical solutions of second order macroscopic models of pedestrian flows

(2008) C. Dogbé   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the modeling of granular traffic flow by the kinetic theory for active particles trend to equilibrium and macroscopic behavior

(2008) L.M. Gramani Cumin   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

A theory of traffic congestion at heavy bottlenecks

(2008) Boris S Kerner   Journal of Physics A-Mathematical and Theoretical

From individual behaviour to population models: A case study using swimming algae

(2008) R.N. Bearon et al.   JOURNAL OF THEORETICAL BIOLOGY

From the discrete kinetic theory of vehicular traffic flow to computing the velocity distribution at equilibrium

(2008) I. Bonzani et al.   MATHEMATICAL AND COMPUTER MODELLING

Non-linear advection–diffusion equations approximate swarming but not schooling populations

(2008) Daniel Grünbaum et al.   MATHEMATICAL BIOSCIENCES

VERTEX FLOW MODELS FOR VEHICULAR TRAFFIC ON NETWORKS

(2008) CIRO D'APICE et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

CONTINUUM LIMIT OF SELF-DRIVEN PARTICLES WITH ORIENTATION INTERACTION

(2008) PIERRE DEGOND et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Interacting RNA polymerase motors on a DNA track: Effects of traffic congestion and intrinsic noise on RNA synthesis

(2008) Tripti Tripathi et al.   PHYSICAL REVIEW E

From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells

(2008) N. Bellomo et al.   Physics of Life Reviews

Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study

(2008) M. Ballerini et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm

(2008) Ling Huang et al.   TRANSPORTATION RESEARCH PART B-METHODOLOGICAL

A dynamical systems approach based on averaging to model the macroscopic flow of freeway traffic

(2007) Vipin Tyagi et al.   Nonlinear Analysis-Hybrid Systems