A phenomenological operator description of dynamics of crowds: Escape strategies

@article{Bagarello2015APO,
  title={A phenomenological operator description of dynamics of crowds: Escape strategies},
  author={Fabio Bagarello and Francesco Gargano and Francesco Oliveri},
  journal={Applied Mathematical Modelling},
  year={2015},
  volume={39},
  pages={2276-2294}
}
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References

SHOWING 1-10 OF 23 REFERENCES
A phenomenological operator description of interactions between populations with applications to migration
We adopt an operatorial method based on the so-called creation, annihilation and number operators in the description of different systems in which two populations interact and move in a
Phase transitions in crowd dynamics of resource allocation.
We define and study a class of resource allocation processes where gN agents, by repeatedly visiting N resources, try to converge to an optimal configuration where each resource is occupied by at
Modeling crowd dynamics from a complex system viewpoint
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 flows and on the
The effect of perception anisotropy on particle systems describing pedestrian flows in corridors
TLDR
A microscopic model is considered (a system of self-propelled particles) to study the behaviour of a large group of pedestrians walking in a corridor and a number of characteristic quantifiers are defined that serve as measures for organization and clustering and used to investigate the influence of anisotropy on the global behaviour of the crowd.
Force-based models of pedestrian dynamics
TLDR
The generalized centrifugal force model is presented which solves some of the intrinsic problems of force-based models like penetration of particles, unrealistic oscillations and velocities as well as conceptual problems related to violations of Newton's laws.
Continuous-space automaton model for pedestrian dynamics.
  • G. Baglietto, D. Parisi
  • Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
TLDR
An off-lattice automaton for modeling pedestrian dynamics that has the advantage that it allows using a larger time step than in force-based models, and the variation of two free parameters accounts for the great variety of experimental fundamental diagrams reported in the literature.
Simulating dynamical features of escape panic
TLDR
A model of pedestrian behaviour is used to investigate the mechanisms of panic and jamming by uncoordinated motion in crowds, and an optimal strategy for escape from a smoke-filled room is found, involving a mixture of individualistic behaviour and collective ‘herding’ instinct.
Simulation of pedestrian crowds in normal and evacuation situations
Starting with a short review of the available literature in the field of pedestrian and evacuation research, an overview is given over the observed collective phenomena in pedestrian crowds. This
...
1
2
3
...