Multi-Dimensional Transport Equations

Eftimie, Raluca

doi:10.1007/978-3-030-02586-1_6

Cited by 8 publications

(5 citation statements)

References 103 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work, we put ourselves in the context of three-zone agent-based models, see, e.g., [11,15,24,27], which are widely accepted in the community. In particular, let us mention the simulator Stardisplay [18,19,20] which aims at reproducing the aerial display of starlings both from a qualitative and quantitative point of view.…”

Section: Introductionmentioning

confidence: 99%

An all-leader agent-based model for turning and flocking birds

Cristiani,

Menci,

Papi

et al. 2020

Preprint

View full text Add to dashboard Cite

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous (both in space and time) right-hand side. The model is specifically designed to reproduce self-organized spontaneous sudden changes of direction, not caused by external stimuli like predator's attacks. The main novelty of the model is that every bird is a potential turn initiator, thus leadership is formed in a group of indistinguishable agents. We investigate some theoretical properties of the model and we show the numerical results. Biological insights are also discussed. Keywords starlings • Sturnus vulgaris • turn • agent-based model • delayed models • leaders • self-organization Mathematics Subject Classification (2010) 92D50 • 92B05 E. Cristiani and M. Menci acknowledge the Italian Minister of Instruction, University and Research to support this research with funds coming from PRIN Project 2017 No. 2017KKJP4X entitled "Innovative numerical methods for evolutionary partial differential equations and applications".

show abstract

Section: Introductionmentioning

confidence: 99%

An all-leader agent-based model for turning and flocking birds

Cristiani,

Menci,

Papi

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…The presence of social groups can also be taken into account. A number of review papers [4,5,6,7,8,9,10,11], and books [12,13,14,15] are now available, we refer the interested reader to these references for an introduction to the field. It is also useful to mention that models for pedestrians often stem from those developed in the context of vehicular traffic [16,13].…”

mentioning

confidence: 99%

Preventing congestion in crowd dynamics caused by reversing flow

Amaro,

Cristiani,

Menci

2022

Preprint

View full text Add to dashboard Cite

In this paper we devise a microscopic (agent-based) mathematical model for reproducing crowd behaviour in a specific scenario: a number of pedestrians, consisting of numerous social groups, flow along a corridor until a gate located at the end of the corridor closes. People are not informed about the closure of the gate and perceive the blockage observing dynamically the local crowd conditions. Once people become aware of the new conditions, they stop and then decide either to stay, waiting for reopening, or to go back and leave the corridor for ever. People going back hit against newly incoming people who are not yet aware of the blockage or have already decided to stay. This creates a dangerous counter-flow which can easily lead to accidents. We run several numerical simulations varying parameters which control the crowd behaviour, in order to understand the factors which have the greatest impact on the dynamics. We conclude with some useful suggestions directed to the organizers of mass events.

show abstract

“…The third and fourth steps are also related to the rich pedestrian flow modeling literature: if one considers the museum as a continuous space as in [31], one can refer to differential (agent-based, kinetic, fluid-dynamic) or nondifferential (discrete choice, cellular automata) models. See, e.g., [3,12,13,18,19,25,35] for some reviews, books' chapters and books about this topic.…”

mentioning

confidence: 99%