关键词: 传染病, 无标度网络, 个体重视, SIR模型, 传播阈值

Abstract: Analyzing the dynamic behavior of the spreading of infectious diseases is one of fundamental problems in the research of complex networks. The existing infectious diseases models do not make full consideration of the influences of the human factor in the process of infectious diseases spreading. In order to solve the problem above, an improved Susceptible-Infected-Removed （SIR） epidemic model with individual attention in the scale-free network is proposed. By using the mean-field theory, analyzing the proposed model of the dynamic behavior. Studying the impact of the proportion of susceptible individuals with individual attention and the individual attention on the infectious diseases spreading in the scale-free network. The theoretical analysis and numerical simulation show that increasing the proportion of susceptible individuals with individual attention and the degree of individual attention can effectively improve the spread threshold of infectious diseases, the speed of spreading and the scale of outbreak.

Key words: infectious diseases, scale-free network, individual attention, Susceptible-Infected-Removed（SIR） model, spread threshold