一类考虑存储介质的分级感染率网络病毒传播模型  

A Network Virus Propagation Model with Hierarchical Infection Rate Considering Storage Medium

作　　者：王有刚[1] 杨浩杰 WANG You-gang;YANG Hao-jie(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《滨州学院学报》2020年第6期38-43,共6页Journal of Binzhou University

基　　金：国家自然科学基金项目(12061033);安徽省高校自然科学研究重点项目(KJ2020A0002);安徽财经大学研究生科研创新基金项目(ACYC2020350)。

摘　　要：移动存储介质的使用是影响网络病毒传播的一个非常重要的因素。研究一类考虑移动存储介质且具有分级感染率的SEIS时滞网络病毒传播模型。模型假设接入网络中的设备部分已经感染病毒。以网络病毒的潜伏期时滞为分岔参数,利用特征值法,分析了模型特征方程根的分布情况,根据分析结果给出模型局部渐近稳定和产生Hopf分岔的充分条件。最后,利用仿真示例验证了所得结果的正确性。The use of mobile storage media is a very important factor affecting the spread of network virus.A delayed SEIS network virus propagation model is studied in the paper with hierarchical infection rate and mobile storage medium.The model assumes that some devices in the access network have been infected with virus.Taking the latency delay of the network virus as the bifurcation parameter,the distribution of the root of the characteristic equation of the model is analyzed by using the eigenvalue method.According to the analysis results,the sufficient conditions for the local asymptotic stability and Hopf bifurcation of the model are put forth.Finally,a simulation example is used to verify the correctness of the results.

关 键 词：SEIS模型 时滞 HOPF分岔 

分 类 号：O175.13[理学—数学]