关键词: 无标度网络, ＳＩＲＳ模型, 人群分类, 中心点, 结构洞点

Abstract: In order to explore the law of the spread of infectious diseases in social networks and further accurately prevent and control the epidemic, this paper establishes a SIRS infectious disease model based on the scale-free network of households. Combined with the location of the center point and the structural hole point, the law of the spread of infectious diseases is analyzed. Through the quantitative study and numerical simulation of model parameters, the influence of infection rate, recovery rate and immune number on the spread of infectious diseases is obtained. The results show that the current prevention and control measures in China are timely and effective. At the same time, it is found that the control of the movement of specific populations and advance immunization can effectively achieve precise prevention and control of the epidemic, which provides a theoretical basis for the formulation of effective prevention and control strategies for infectious diseases.