Fractional Order Dynamic Modeling of Crowd Pedestrians
Motivated by the complexity of spatial-temporal patterns, fractional order model of crowd dynamics has been proposed in this paper based on the popular Lighthill-Whitham- Richards Model (LWR) model for tra.c system. Comparing with previous models for tra.c systems and models for crowd pedestrian system, space and time characteristics are included and powerful tools from fractional calculus such as fractal derivatives are employed for approximating the nature of social crowd dynamics. To the authors?knowledge, there are no fractional order dynamic models for crowd pedestrians so far. Observed complex phenomenons such as fractal dimensions, power law and scale-invariant property are presented to validate the applications of fractional calculus in modeling of tra.c and crowd pedestrian dynamics. Future investigations related to crowd pedestrian systems are also included in this paper.
Fractional Order LWR Model Crowd Pedestrian Dynamics Fractal Derivative.
Ke-Cai Cao Caibin Zeng Dan Stuart YangQuan Chen
Nanjing University of Posts and Telecommunications, Nanjing,210003, China Center for Self-Organizing School of Sciences, South China University of Technology,Guangzhou, 510640, China Center for Self-O Center for Self-Organizing and Intelligent Systems (CSOIS),Department of Electrical and Computer Eng Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer En
国际会议
The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)
南京
英文
1-6
2012-05-14（万方平台首次上网日期，不代表论文的发表时间）