American Journal of Modeling and Optimization
ISSN (Print): 2333-1143 ISSN (Online): 2333-1267 Website: Editor-in-chief: Dr Anil Kumar Gupta
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American Journal of Modeling and Optimization. 2019, 7(1), 29-34
DOI: 10.12691/ajmo-7-1-5
Open AccessArticle

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

Jimbo Henri Claver1, , 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

Pub. Date: September 17, 2019

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


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.

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

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