无标度网络中边权重对传播的影响

摘要

To investigate the effect of weight fluctuations, it must ensure that the average weight of edge keeps invariance when weight fluctuations increase. This paper proposed a new weight definition, which satisfied the invariance condition of average weight, and gave a new description of general SIR model in weighted complex networks. Experiments show that epidemics spread slowly in weighted scale-free networks, when weight fluctuations increase.%为独立研究权重涨落的影响,在权重涨落变化时,需要保证边的平均权重保持不变,为此提出了满足平均权重不变条件的边权重定义,给出了一种新的边用易感-感染-康复(SIR)模型在加权网络中的表述方法.仿真实验结果表明,在加权无标度网络中,权重涨落增大时,SIR模型中传染病的发展得到抑制,传播速度和最终规模均低于权重为1的等权网络.