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R.I. Knoblauch, M.T. Piettrucha, and M. Nitzburg. ‘Study of pedestrian walking speed and start-up time’ Trans. Res. Rec. J. Transp. Res. Board’ 1538: 1996, Pp 27-38.

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Article

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

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


American Journal of Modeling and Optimization. 2019, Vol. 7 No. 1, 29-34
DOI: 10.12691/ajmo-7-1-5
Copyright © 2019 Science and Education Publishing

Cite this paper:
Jimbo Henri Claver, Jawad Azimi, Dinga Bruno, 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.

Correspondence to: Jimbo  Henri Claver, Department of Applied Mathematics and Statistics, AUAF and Waseda University, Tokyo, Japan (Joint Research). Email: jimbo.maths@gmail.com

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