一类SIQR传染病模型在无尺度网络上的传播行为分析  

The analysis of a SIQR epidemic model in scale-free complex networks

作　　者：叶志勇[1] 刘原[1] 赵彦勇 

机构地区：[1]重庆理工大学数学与统计学院,重庆400054

出　　处：《计算机工程与科学》2014年第8期1524-1527,共4页Computer Engineering & Science

基　　金：重庆市教委资助项目组(KJ080622)

摘　　要：研究了无尺度网络中的具有隔离项的SIQR传染病模型,利用平均场理论对疾病的传播进行了研究分析,经过计算得到了疾病传播的临界条件R0,证明了最终疾病的消失或者爆发是由临界值来决定的。然后,通过计算机仿真表明降低感染状态的感染率和提高染病节点的隔离率可以有效地控制该类传染病的传播。A SIQR epidemic model with quarantine in scale free complex networks is investigated,by means of the mean-field theory,the spread of the disease is studied.Threshold R0 is obtained by calcula tion,and it is proved that the disappearance or eruption of the disease is determined by threshold R0..Computer simulation indicates that reducing infection rate and improving the isolation rate of infected nodes can effectively control the spread of infectious diseases.

关 键 词：SIQR传染病模型 传播阈值 平衡点 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]