一类SIQR传染病模型在无尺度网络上的传播行为分析

J4 ›› 2014, Vol. 36 ›› Issue (08): 1524-1527.

一类SIQR传染病模型在无尺度网络上的传播行为分析

叶志勇,刘原,赵彦勇

（重庆理工大学数学与统计学院，重庆 400054）

收稿日期:2012-10-26 修回日期:2013-04-15 出版日期:2014-08-25 发布日期:2014-08-25
基金资助:
重庆市教委资助项目组（KJ080622）

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

YE Zhiyong,LIU Yuan,ZHAO Yanyong

(School of Mathematics and Statistics,Chongqing University of Technology,Chongqing 400054,China)

Received:2012-10-26 Revised:2013-04-15 Online:2014-08-25 Published:2014-08-25

摘要/Abstract

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。

关键词: SIQR传染病模型, 传播阈值, 平衡点

Abstract:

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 calculation,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.

Key words: SIQR model;threshold;equilibrium

叶志勇,刘原,赵彦勇. 一类SIQR传染病模型在无尺度网络上的传播行为分析[J]. J4, 2014, 36(08): 1524-1527.

YE Zhiyong,LIU Yuan,ZHAO Yanyong. The analysis of a SIQR epidemic model
in scale-free complex networks [J]. J4, 2014, 36(08): 1524-1527.