YAN Gang1, ZHOU Tao1,2, WANG Jie1, FU Zhong-Qian1, WANG Bing-Hong2
1Electronic Science and Technology, University of Science and Technology of China, Hefei 230026
2Nonlinear Science Centre and Department of Modern Physics, University of Science and Technology of China, Hefei 230026
Epidemic Spread in Weighted Scale-Free Networks
YAN Gang1;ZHOU Tao1,2;WANG Jie1;FU Zhong-Qian1;WANG Bing-Hong2
1Electronic Science and Technology, University of Science and Technology of China, Hefei 230026
2Nonlinear Science Centre and Department of Modern Physics, University of Science and Technology of China, Hefei 230026
Abstract: We investigate the detailed epidemic spreading process in scale-free networks with link weights that denote familiarity between two individuals. It is found that the spreading velocity reaches a peak quickly then decays in a power-law form. Numerical study exhibits that the nodes with larger strength is preferential to be infected, but the hierarchical dynamics are not clearly found, which is different from the well-known result in the unweighed network case. In addition, also by numerical study, we demonstrate that larger dispersion of weight of networks results in slower spreading, which indicates that epidemic spreads more quickly on unweighted scale-free networks than on weighted scale-free networks with the same condition.