山西大学学报（自然科学版）2025，Vol.48Issue(5)：888-899,12.DOI:10.13451/j.sxu.ns.2025040
基于社会关系和个人行为的传染病建模与分析
Modeling and Analysis of Infectious Diseases Based on Social Relationships and Personal Behavior
摘要
Abstract
The spread of infectious diseases poses significant threats to public health,economic development,and social stability.Un-der the influence of different infection situation information and social relations,individual infectious disease prevention behavior presents complex and diversified characteristics.Therefore,under the influence of individual neighbor information,secondary neigh-bor information and global infection situation information,this paper proposes a multi-layer network co-evolution model of individu-al protection behavior transformation and disease transmission based on social relations and similarity imitation behavior,and inte-grates the threshold intervention factors of government on infectious disease transmission,and studies the dynamic interaction be-tween infectious disease infection situation information and SIS infectious disease model.Finally,MMCA(micro scopic Markov chain)is used to analyze the proportion of final crowd state and propagation threshold under different model parameters.The re-search shows that increasing individuals'perception of local infection information,along with stronger government control over in-fectious diseases and lower control thresholds,can effectively reduce the final proportion of infected individuals and raise the trans-mission outbreak threshold.关键词
复杂网络/传染病模型/社会关系/微观马尔可夫链/传播阈值Key words
complex networks/infectious disease modeling/social relationships/microscopic Markov chain/propagation thresholds分类
数理科学引用本文复制引用
常星花,曾镕,王建荣..基于社会关系和个人行为的传染病建模与分析[J].山西大学学报（自然科学版）,2025,48(5):888-899,12.基金项目
中国博士后基金(2021M692400) （2021M692400）
山西省基础研究计划(202203021221017 （）
202303021212360) （）
山西省高等学校科技创新项目(2023L379) （2023L379）
山西省高等教育科技创新平台(2022P016) （2022P016）
