Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity.
In this paper, we propose a susceptible-infected model with identical infectivity, in which, at every time step, each node can only contact a constant number of neighbors. We implemented this model on scale-free networks, and found that the infected population grows in an exponential form with the time scale proportional to the spreading rate. Furthermore, by numerical simulation, we demonstrated that the targeted immunization of the present model is much less efficient than that of the standard susceptible-infected model. Finally, we investigate a fast spreading strategy when only local information is available. Different from the extensively studied path-finding strategy, the strategy preferring small-degree nodes is more efficient than that preferring large-degree nodes. Our results indicate the existence of an essential relationship between network traffic and network epidemic on scale-free networks.
Zhou
Tao
T
Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Anhui Hefei 230026, People's Republic of China. zhoutou@ustc.edu
Liu
Jian-Guo
JG
Bai
Wen-Jie
WJ
Chen
Guanrong
G
Wang
Bing-Hong
BH