A phenomenological operator description of dynamics of crowds: Escape strategies

  title={A phenomenological operator description of dynamics of crowds: Escape strategies},
  author={Fabio Bagarello and Francesco Gargano and Francesco Oliveri},
  journal={Applied Mathematical Modelling},
An operatorial model for long-term survival of bacterial populations
This paper deals with the application of the operatorial techniques of quantum physics to model a closed ecosystem in a two-dimensional region. In particular, we consider a model with four
Recent Results on Operator Techniques in the Description of Macroscopic Systems
In many classical systems the relevant quantities we are interested in change discontinuously. For instance, if you consider a certain population P, and its time evolution, the number of people
(H,ρ)-induced dynamics and large time behaviors
Modelling crowd movements in domains with boundaries
The careful choice of obstacles near an exit is shown to be able to reduce evacuation times and an ad hoc numerical algorithm is detailed, some of its properties discussed and the convergence of the corresponding approximate solutions is investigated.
An Operatorial Description of Desertification
It is shown that even taking into account only a few parameters, accounting for external actions on the ecosystem or the response to positive feedbacks, the model provides a plausible description of the desertification process, and can be adapted to different ecological landscapes.
On fermionic models of a closed ecosystem with application to bacterial populations
This paper deals with the application of operatorial techniques of quantum physics to a theoretical model of closed ecosystems. The model is built by using fermionic operators whose evolution is
(H,ρ)–Induced Political Dynamics: Facets of the Disloyal Attitudes Into the Public Opinion
A simple model, suitable to describe the dynamics of a political system consisting of three macro–groups affected by turncoat–like behaviors and the influence of the opportunistic attitudes of


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
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
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
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
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