Modelling, Simulation and Analysis of Police Containment of Crowd Using Stochastic Differential Equations with Delays

Jimbo Henri Claver^1, , Jawad Azimi², Dinga Bruno³ and Gabriel Andjiga⁴

¹Department of Applied Mathematics and Statistics, AUAF and Waseda University, Tokyo, Japan (Joint Research)

²Department of Data Analysis, International Cooperation Agency, JICA Headquarter office, Kabul, Afghanistan

³Department of Applied Mathematics and Computing, Bamenda, Cameroon

⁴Department of Mathematics University of Yaoundé 1, Cameroon

Cite this paper:
Jimbo Henri Claver, Jawad Azimi, Dinga Bruno and Gabriel Andjiga. Modelling, Simulation and Analysis of Police Containment of Crowd Using Stochastic Differential Equations with Delays. American Journal of Modeling and Optimization. 2019; 7(1):29-34. doi: 10.12691/ajmo-7-1-5

Abstract

In this paper, we develop new models of crowd containment involving cordons of police agents (officers) surrounding a crowd of protesters with ultimate goal to restrict their movements. Our model employs stochastic delay differential equations (SDDEs) to simulate the scenarios in which protesters clash with police in a rank line formation. We investigate the solutions of the propose models and the stability of their solutions too. Our results show that a strategy that is integrative produces better optimal solutions and the performance of our strategy can be evaluated.

Keywords:
Modelling simulation predictive analysis national police protesters crowd formation crowd control and stability

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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