论文信息 - SIMULATION OF TRAFFIC CONGESTION WITH SIR MODEL

SIMULATION OF TRAFFIC CONGESTION WITH SIR MODEL

The spread of traffic congestion is related to the rate of infection and the recovery rate. In this paper, we describe the traffic congestion spread with SIR model of a complex network. From the point of the complex network, the spread of the traffic congestion with different parameters are simulated. By simulation, we find that the behavior of the traffic system is tightly related to the average rate of infection, the average recovery rate and the topological properties of traffic network.

[1] M. Keeling,et al. The effects of local spatial structure on epidemiological invasions , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[2] B. Grenfell,et al. Mean-field-type equations for spread of epidemics: the ‘small world’ model , 1999 .

[3] Alessandro Vespignani,et al. Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[4] Christophe Claramunt,et al. Topological Analysis of Urban Street Networks , 2004 .

[5] R. Anderson,et al. Persistence and dynamics in lattice models of epidemic spread. , 1996, Journal of theoretical biology.

[6] P. Grassberger. On the critical behavior of the general epidemic process and dynamical percolation , 1983 .