A NEW FRACTIONAL ORDER DYNAMIC MODEL FOR HUMAN CROWD STAMPEDE SYSTEM

摘要

Tragedies due to people's crushing or trampling have been observed in recent years. In order to understand the reasons that lead to these accidents, a lot of research has been conducted in modeling or predicting the behavior of crowd pedestrians. A new kind of fractional order dynamic description for crowd-pedestrian system has been developed in microscopic scale in this paper for a better understanding of human collective behavior where fractional order in time domain has been introduced. Due to the freedom provided by Fractional Calculus, a lot of characters of pedestrians can be considered in this fractional order modeling framework, such as memory effects, long range interactions and heterogeneity of each individual. Simulations results using Matlab in microscopic are also presented to show the effects of integer order and fractional order on evacuation time which is useful in evaluating the evacuation process or predicting crowd stampede that is going to occur.