Abstract
This article introduces a new model of weighted human behaviour in the context of urban terrorist attacks. In this context, one of the major challenges is to improve the protection of the population. In achieving this goal, it is important to better understand and anticipate both individual and collective human behaviour, and the dynamics of the displacements associated with these behaviours. Based on the recently published Panic-Control-Reflex (PCR) model, this new Coupled Weighted PCR model takes into account the role of spatial configurations on behavioural dynamics. It incorporates, via a bottleneck effect, the narrowness and the length of the streets, and thus the pressure and counter pressure of the crowd in dangerous and safe places. The numerical evacuation simulations highlight that, depending on their size, intermediate places or public squares modulate the dynamics and the speed of flow of the crowd as it evacuates to a safe place. This model features a user-friendly graphical representation, which allows planners to accurately decide where to organize host public events in a specific territorial context.
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References
Ph. Marchesin, Introduction aux relations internationales (Karthala, coll., Hommes et Sociétés, Paris, 2008)
J.-F. Colonna, Expériences virtuelles et virtualités expérimentales. Réseaux 11(61) (1993)
D. Provitolo, E. Dubos-Paillard, N. Verdiere, V. Lanza, R. Charrier, C. Bertelle, M.A. Aziz-Alaoui, Les comportments humains en situation de catastrophe: de I’observation à la modélisation conceptuelle et mathematique. Cybergeo: Eur. J. Geogr. 735, (2015), 23 p
N. Verdière, V. Lanza, R. Charrier, D. Provitolo, E. Dubos-Paillard, C. Bertelle, M.A. Aziz-Alaoui, Mathematical modeling of human behaviours during catastrophic events, in ICCSA14, 23–26 June, Le Havre (2014), 8 p
N. Verdière, G. Cantin, D. Provitolo, V. Lanza, E. Dubos-Paillard, R. Charrier, M.A. Aziz-Alaoui, C. Bertelle, Understanding and simulation of human behaviours in areas affected by disasters: from the observation to the conception of a mathematical model. Glob. J. Hum. Soc. Sci.: H Interdiscip. 15(10), Version 1.0 (2015), 10 p
G. Cantin, N. Verdière, V. Lanza, M.A. Aziz-Alaoui, R. Charrier, C. Bertelle, D. Provitolo, E. Dubos-Paillard, Mathematical modeling of human behaviours during catastrophic events: stability and bifurcations. Int. J. Bifurc. Chaos 26(10), 1630025 (2016), (20 pp.). https://doi.org/10.1142/S0218127416300251
J.D. Murray, Mathematical Biology I: An Introduction (Springer, New York, 2002)
H. Laborit, La légende des comportements (Flammarion, Paris, 1994)
N. George, L. Gamond, Premières impressions, L’essentiel Cerveau et Psycho: Les émotions au Pouvoir, No. 7 (2011)
R. Noto, P. Huguenard, A. Larcan, Médecine de catastrophe (Masson, Paris, 1994)
R. Soussignan, Un monde d’émotions, L’essentiel Cerveau et Psycho: Les émotions au pouvoir, No. 7 (2011)
T. Brosch, D. Sander, Les effects cognitifs des émotions, L’essentiel Cerveau et Psycho: Les émotions au pouvoir, No. 7 (2011)
L. Crocq, Les paniques collectives (Odile Jacob, Paris, 2013), 380 p
E. Hatfield, J.T. Cacioppo, R.L. Rapson, Emotional Contagion (Cambridge University Press, Cambridge, 1994)
D. Provitolo, Un exemple d’effets de dominos: la panique dans les catastrophes urbaines. Cybergéo: Revue européenne de géographie 328 (2005), 19 p, http://www.cybergeo.eu/index2998.html
L.D. Devi Vanumu, K.R. Rao, G. Tiwari, Fundamental diagrams of pedestrian flow characteristics: a review. Eur. Transp. Res. Rev. 9(49), 49 (2017). https://doi.org/10.1007/s12544-017-0264-6
W. Daamen, S.P. Hoogendoorn, P.H.L. Bovy, First-order pedestrian traffic flow. Theory. Transp. Res. Rec. J. Transp. Res. Board 1934, 43–52 (2005)
C. Dias, M. Sarvi, N. Shiwakoti, O. Ejtemai, M. Burd, Investigating collective escape behaviours in complex situations. Saf. Sci. 60, 87–94 (2013)
T. Kretz, A. Grünebohm, M. Schreckenberg, Experimental study of pedestrian flow through a bottleneck. J. Stat. Mech.: Theory Exp. 2006, P10014 (2006). https://doi.org/10.1088/1742-5468/2006/10/P10014
W. Liao, A. Seyfried, J. Zhang, M. Boltes, X. Zheng, Y. Zhao, Experimental study on pedestrian flow through wide bottleneck (The Conference on Pedestrian and Evacuation Dynamics 2014 (PED2014)). Transp. Res. Procedia 2, 26–33 (2014)
A. Seyfried, B. Steffen, W. Klingsch, M. Boltes, The fundamental diagram of pedestrian movement revisited. J. Stat. Mech.: Theory Exp. 10(10) (2005). https://doi.org/10.1088/1742-5468/2005/10/P10002
X.L. Zhang, W.G. Weng, H.Y. Yuan, J.G. Chen, Empirical study of a unidirectional dense crowd during a real mass event. Phys. A 392, 2781–2791 (2013)
J.-B. Zhou, H. Chen, J. Yang, J. Yan, Pedestrian evacuation time model for urban metro hubs based on multiple video sequences data. Math. Probl. Eng. 2014, Article ID 843096 (2014), 11 pp. https://doi.org/10.1155/2014/843096
Acknowledgements
This work has been supported by the French government, through (i) the National Research Agency (ANR) under the Societal Challenge 9 ‘Freedom and security of Europe, its citizens and residents’ with the reference number ANR-17-CE39-0008, co-financed by French Defence Procurement Agency (DGA) and The General Secretariat for Defence and National Security (SGDSN), and (ii) the IDEX UCA\(^{{\text {JEDI}}}\) Investments in the Future project managed by the National Research Agency (ANR) with the reference number ANR-15-IDEX-01. The authors thank gratefully Abby Cuttris in polishing the English.
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Provitolo, D., Lozi, R., Tric, E. (2020). Topological Analysis of a Weighted Human Behaviour Model Coupled on a Street and Place Network in the Context of Urban Terrorist Attacks. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-0928-5_5
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