复杂网络中SAIQRS传染病模型动力学分析  

Dynamic Analysis on SAIQRS Epidemic Model in Complex Networks

作　　者：顾梓玉 党元辰 何沛妍 杨丽新 GU Ziyu;DANG Yuanchen;HE Peiyan;YANG Lixin(School of Mathematics and Data Science,Shaanxi University of Science&Technology,Shaanxi Xi'an 710021,China)

机构地区：[1]陕西科技大学数学与数据科学学院,陕西西安710021

出　　处：《河北师范大学学报（自然科学版）》2023年第1期41-46,共6页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(59493300);教育部博士点基金(9800462)。

摘　　要：基于动力学理论研究了复杂网络中传染病的传播过程,综合考虑个体在疾病传播过程中的预防行为和自我隔离措施,提出了一类无标度网络上具有警觉行为和隔离行为的SAIQRS传染病传播模型;并进一步利用平均场理论得到传播阈值的关系式,系统分析了模型的动力学行为.研究发现,在无标度网络中增大警觉率、隔离率的比例和增强警觉的强度,可以降低传染病的爆发规模.数值仿真结果表明,具有警觉和隔离的行为对疾病的传播速度与传播规模有影响.The process of infectious disease transmission on complex networks is studied based on dynamics theory.Considering individual preventive behavior and self-isolation measures in the process of disease transmission,a SAIQRS infectious disease transmission model with alert behavior and isolation behavior on scale-free networks is proposed.Furthermore,by using the mean field theory,the relation of the propagation threshold is obtained and the dynamic behavior of the model is analyzed systematically.We study the proportion of increasing vigilance rate,the intensity of vigilance and isolation rate and in scale-free networks are studied.Numerical simulation results show that the behaviors of vigilance and isolation have a great impact on the speed and scale of disease transmission.

关 键 词：无标度网络 警觉行为 隔离措施 传播阈值 

分 类 号：O193[理学—数学] N941.3[理学—基础数学]