无标度网络下的人群分类传染病传播研究  

Research on the spread of population-classified infectious diseases in scale-free networks

作　　者：刘勇[1] 杨淑姝 王笑 LIU Yong;YANG Shushu;WANG Xiao(School of Science,Xi’an University of Architecture and Technology,Xi’an 710055,China)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《重庆理工大学学报（自然科学）》2023年第1期273-279,共7页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金项目(11661066);陕西省自然科学基金项目(220180140);新型城镇化研究基金-新冠肺炎应急研究专项(XG2008)。

摘　　要：为了探究社会网络中传染病的传播规律,进一步精准防控疫情。基于以家庭为单元的无标度网络,建立SIRS传染病模型,结合中心点和结构洞点所在位置分析了传染病传播、扩散规律,通过对模型参数定量研究和数值模拟,得到感染率、治愈率和免疫人数对传染病传播的影响。研究结果表明我国目前的防控措施都是及时有效的,同时发现控制特定人群的流动和提前免疫可有效实现疫情精准防控,为制定有效的传染病防控策略提供理论依据。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.

关 键 词：无标度网络 SIRS模型 人群分类 中心点 结构洞点 

分 类 号：O157.6[理学—数学]