eng Science and Education Publishing American Journal of Modeling and Optimization 2333-1267 2019-09-17 7 1 29 34 10.12691/ajmo-7-1-5 AJMO2019715 article Jimbo Henri Claver jimbo.maths@gmail.com 1 Jawad Azimi 2 Dinga Bruno 3 Gabriel Andjiga 4 Department of Applied Mathematics and Statistics, AUAF and Waseda University, Tokyo, Japan (Joint Research) Department of Data Analysis, International Cooperation Agency, JICA Headquarter office, Kabul, Afghanistan Department of Applied Mathematics and Computing, Bamenda, Cameroon Department of Mathematics University of Yaoundé 1, Cameroon 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. http://pubs.sciepub.com/ajmo/7/1/5/ajmo-7-1-5.pdf Modelling simulation predictive analysis national police protesters crowd formation crowd control and stability