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Volume 3 Issue 3
Jul.  2016

IEEE/CAA Journal of Automatica Sinica

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Kecai Cao, YangQuan Chen and Daniel Stuart, "A Fractional Micro-Macro Model for Crowds of Pedestrians Based on Fractional Mean Field Games," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 261-270, 2016.
Citation: Kecai Cao, YangQuan Chen and Daniel Stuart, "A Fractional Micro-Macro Model for Crowds of Pedestrians Based on Fractional Mean Field Games," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 261-270, 2016.

A Fractional Micro-Macro Model for Crowds of Pedestrians Based on Fractional Mean Field Games


This work was supported by National Natural Science Foundation of China (61374055), Natural Science Foundation of Jiangsu Province (BK20131381), China Postdoctoral Science Foundation funded project (2013M541663), Jiangsu Planned Projects for Postdoctoral Research Funds (1202015C), Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry (BJ213022), Scientific Research Foundation of Nanjing University of Posts and Telecommunications (NY214075, XJKY14004).

  • Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass. Then in order to characterize the competitive and cooperative interactions among pedestrians, fractional mean field games are utilized in the modeling problem when the number of pedestrians goes to infinity and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale. Fractional micromacro model for crowds of pedestrians are obtained in the end. Simulation results are also included to illustrate the proposed fractional microscopic model and fractional macroscopic model, respectively.


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