Modeling and simulating crowd dynamics in the Ziyarte al-Arba’een : A fluid-stochastic-network approach

Al-Rahem, Mushtaq K. Abd

doi:10.47974/JIM-1885

Open Access Research Article

Modeling and simulating crowd dynamics in the Ziyarte al-Arba’een : A fluid-stochastic-network approach

^*Mushtaq K. Abd Al-RahemCorresponding authormushtag.k@uokerbala.edu.iqDepartment of Statistics College of Administration and Economics University of KerbalaDepartment of Statistics College for Administration & Economics Karbala UniversityKarbala, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 871–879Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1885XML

Received:: 10 Jan 2024
Published Online:: 30 Jun 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1885
Pages:: 871–879

Abstract

The Ziyarte al-Arba’een is an event where millions of individuals journey on foot to the city of Karbala, in Iraq. Managing the safety and well-being of such a gathering presents challenge. In our research we have created a model that studies crowd behavior and evaluates methods to ensure their security. Our model incorporates elements such as dynamics, stochastic processes, and network theory to understand how interactions among visitors the environment and control strategies impact crowd dynamics. By simulating scenarios, we can effectively identify the factors and areas that influence crowd movement. This allows us to develop strategies, for crowd management that prioritize safety and aim to reduce accidents or injuries. Such studies contribute to the advancement of crowd science field.

Keywords

Ziyarte al-Arba’een Crowd dynamics Network theory Simulation

Subject Classifications

15B5134K50

References

[1] Albi, G., Cristiani, E., Pareschi, L., Peri, D. Mathematical Models and Methods for Crowd Dynamics Control. In: Gibelli, L. (eds) Crowd Dynamics, Volume 2. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2020). https://doi.org/10.1007/978-3-030-50450-2_8.
[2] Brown, S. P. The Science of Crowds: Understanding Human Behavior in Mass Situations. Yale University Press (2017). doi:10.12987/9780300223766.
[3] Cantor, P. B. Crowd Safety and Management: A Guide for Practitioners. CRC Press (2014). doi:10.1201/b16375.
[4] Cruzeiro, Ana Bela. “Stochastic Approaches to Deterministic Fluid Dynamics: A Selective Review” Water 12, no. 3: 864 (2020). https://doi.org/10.3390/w12030864.
[5] Flandoli, F. An Introduction to 3D Stochastic Fluid Dynamics. In: Da Prato, G., Rückner, M. (eds) SPDE in Hydrodynamic: Recent Progress and Prospects. Lecture Notes in Math., vol 1942. Springer, Berlin, Heidelberg (2008). https://doi.org/10.1007/978-3-540-78493-7_2.
[6] Granovetter, M. The Dynamics of Crowds: Understanding Mass Behavior. Cambridge University Press (1988).
[7] Helbing, D. Mathematical Modeling of Crowd Dynamics. Springer (2012). doi:10.1007/978-3-642-28722-4.
[8] Helbing, D., & Hamm, I. Crowd Dynamics: Modeling, Simulation, and Control. Springer (2007). doi:10.1007/3-540-35919-4.
[9] https://eps.leeds.ac.uk/maths-applied-mathematics/doc/applied-nonlinear-dynamics.
[10] Om, H. & Tapas, K. Neural network based intrusion detection system for detecting changes in hardware profile, Journal of Discrete Mathematical Sciences and Cryptography, 12:4, 451-466 (2009), DOI: 10.1080/09720529.2009.10698247.
[11] Piccoli, B., Rossi, F. Measure-Theoretic Models for Crowd Dynamics. In: Gibelli, L., Bellomo, N. (eds) Crowd Dynamics, Volume 1. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham (2018). https://doi.org/10.1007/978-3-030-05129-7_6.
[12] Song, J., Xie H., & Feng Yan, F. Fast association rule mining algorithm for network attack data, Journal of Discrete Mathematical Sciences and Cryptography, 20:6-7, 1465-1469 (2017), DOI: 10.1080/09720529.2017.1392464.
[13] Zeinab H. Abood, D., Kadhim, A & Mushtaq, Abd Al-Rahem. View a new of neutrosophic in D-metric space, Journal of Interdisciplinary Mathematics, 24:7, 1855-1861 (2021), DOI: 10.1080/09720502.2021.1964729.

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