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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P530

A Study Two Other Behaviours Have Been Integrated In The Modelling: The Reflex One And The Controlled One


M.Nivetha , Dr.R.Bala kumar
Abstract

this paper proposed a new step in the modelling of the crowd dynamics in catastrophic events. Indeed, it considers three concurrent behaviours and includes the processes of transition from one behaviour to the other. Up to now the main models consist in modelling the panic which is fear behaviour, but it is not always adopted. Furthermore, panic does not necessarily last during the entire event and, on the contrary, the global behaviour of the crowd can change. In this work, two other behaviours have been integrated in the modelling: the reflex one and the controlled one. As seen in human sciences, our facsimilist show that they can influences the crowd behaviour and a return to normality.

Keywords
crowd dynamics, catastrophic events, facsimilist.
References

[1] Bellomo. N and Dogb‘ e.C. On the modeling of traffic and crowds: A survey of models, speculations, and perspectives. SIAM review, 53(3):409– 463, 2011.
[2] Boyd.S.T. R´ eactions psychologiques des victimes de catastrophes. South african Medicine Jal, 60:744–748, 1981.
[3] Crocq. L. La psychologie des catastrophes et les bless´ es psychiques. Noto R. M´ edecine de catastrophe, Paris, Milan, Barscelone, Masson, 1994.
[4] Crocq.L. Les paniques collectives. Paris: Odile Jacob, 2013
[5] Dubos-Paillard.E Provitolo.D and Mu¨ller.J. P Emer- gent human behaviour during a disaster: thematic versus complex systems approaches. In EPNACS 2011 within European Conference of Complex System, Septembre 2011.
[6] Provitolo.D Dauphin´e.A Risques et catastrophes. Ob- server, spatialiser, comprendre, g´ erer. Paris: Armand Colin, 2013.
[7] Venel. J Maury.B A mathematical framework for a crowd motion model. Acad.C. R Sci. Paris, 346:1245– 1250, 2008.

Citation :

M.Nivetha , Dr.R.Bala kumar, "A Study Two Other Behaviours Have Been Integrated In The Modelling: The Reflex One And The Controlled One," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 247-254, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P530

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