基于有向网络的Email病毒传播模型及其震荡吸引子研究  

Study of directed networks-based Email virus propagation model and its concussion attractor

作　　者：邓奇湘[1] 贾贞[1,2] 谢梦舒[1] 陈彦飞[1] 

机构地区：[1]桂林理工大学理学院,桂林541004 [2]广西空间信息与测绘重点实验室,桂林541004

出　　处：《物理学报》2013年第2期35-45,共11页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61164020;61004101);广西自然科学基金(批准号:2011GXNSFA018147);广西空间信息与测绘重点实验室(批准号:1103108-24)资助的课题~~

摘　　要：基于有向Email网络和Email病毒传播特点,运用平均场方法建立Email病毒传播的时滞微分方程模型,研究Email病毒在有向网络中的震荡传播行为.理论上给出了震荡解的全局吸引子存在的充要条件,数值实验验证了吸引子的存在性和控制.研究表明,子图之间的传播概率决定吸引子的存在性,而有效传播率影响吸引子的振幅,因此这两个参数对于有效预测和控制Email病毒在网络上的传播规模具有重要意义.According to directed Emall networks and the spread characteristics of Emall virus, we study the behavior of the virus shock propagation in Email networks by using the mean field method to build delay differential equation model of viral spread. Then, the sufficient condition about the existence of shock solution＇s global attractor is given in theory. The existence and control of attractor are proved by numerical experiments. Our research indicates that spread probability between subgraphs determines the existence of attractor, and effective rate of spread determines the amplitude of attractor. Therefore these two parameters are significant in prediction of the scale of viral spread in networks.

关 键 词：复杂网络 Email病毒 传播 全局吸引子 

分 类 号：Q939.4[生物学—微生物学] O157.5[理学—数学]