### Abstract

Original language | English |
---|---|

Pages (from-to) | 2276-2294 |

Number of pages | 19 |

Journal | Applied Mathematical Modelling |

Volume | 39 |

Publication status | Published - 2015 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Modelling and Simulation
- Applied Mathematics

### Cite this

*Applied Mathematical Modelling*,

*39*, 2276-2294.

**A phenomenological operator description of dynamics of crowds: Escape strategies.** / Bagarello, Fabio; Gargano, Francesco; Oliveri, Francesco.

Research output: Contribution to journal › Article

*Applied Mathematical Modelling*, vol. 39, pp. 2276-2294.

}

TY - JOUR

T1 - A phenomenological operator description of dynamics of crowds: Escape strategies

AU - Bagarello, Fabio

AU - Gargano, Francesco

AU - Oliveri, Francesco

PY - 2015

Y1 - 2015

N2 - We adopt an operatorial method, based on creation, annihilation and number operators, to describe one or two populations mutually interacting and moving in a two-dimensional region. In particular, we discuss how the two populations, contained in a certain two-dimensional region with a non-trivial topology, react when some alarm occurs. We consider the cases of both low and high densities of the populations, and discuss what is changing as the strength of the interaction increases. We also analyze what happens when the region has either a single exit or two ways out.

AB - We adopt an operatorial method, based on creation, annihilation and number operators, to describe one or two populations mutually interacting and moving in a two-dimensional region. In particular, we discuss how the two populations, contained in a certain two-dimensional region with a non-trivial topology, react when some alarm occurs. We consider the cases of both low and high densities of the populations, and discuss what is changing as the strength of the interaction increases. We also analyze what happens when the region has either a single exit or two ways out.

UR - http://hdl.handle.net/10447/147438

UR - http://www.elsevier.com/inca/publications/store/5/2/4/9/9/8/

M3 - Article

VL - 39

SP - 2276

EP - 2294

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

ER -