无标度网络上具有时滞的SIRS传播模型研究  

SIRS spreading model with time delay in scale-free networks

作　　者：李涛[1] 王圆妹[1] 关治洪[2] 张慧玲[2] 

机构地区：[1]长江大学电子信息学院,湖北荆州434023 [2]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《华中科技大学学报（自然科学版）》2013年第4期80-82,87,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60973012;61170031;61272029);荆州市科技发展计划资助项目(2012CA20)

摘　　要：基于无标度网络的特点,提出了一类具有时滞特性的SIRS传播模型.首先利用平均场理论对疾病的传播行为进行了理论分析,得到了该传播模型的传播阈值,证明了疾病的爆发与消亡完全由传播阈值确定,讨论了拓扑结构、时滞、节点的迁入迁出对传播阈值的影响;然后选取相应的系统参数,对系统进行数值仿真,验证了所得的结论.A SIRS epidemic model with time delay on scale-free networks was proposed. Based on the mean field theory, the spreading dynamics of the disease was analyzed and a spreading critical thresh- old was derived. Theoretical analyses indicate that the outbreak or demise of the disease is entirely de- termined by the threshold. Moreover, the impact of the topology of networks, time delay and nodes＇ immigration/emigration on the critical threshold was analyzed. Then numerical simulations were pres- ented to illustrate the results with the theoretical analysis.

关 键 词：无标度网络 时滞 平均场理论 SIRS传播模型 仿真 阈值 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]