SIS病毒传播模型在单向网络中的动力学研究  

DYNAMICS OF SIS EPIDEMIC SPREADING MODEL IN UNIDIRECTIONAL NETWORKS

作　　者：李纪康 唐亮 焦鹏 靖可 Li Jikang;Tang Liang;Jiao Peng;Jing Ke(School of Mechatronics Engineering,Shenyang Aerospace University,Shenyang 110000,Liaoning,China;School of Transportation Management,Dalian Maritime University,Dalian 116000,Liaoning,China)

机构地区：[1]沈阳航空航天大学机电工程学院,辽宁沈阳110000 [2]大连海事大学交通运输管理学院,辽宁大连116000

出　　处：《计算机应用与软件》2018年第9期1-6,共6页Computer Applications and Software

基　　金：国家自然科学基金项目(71201106;71301108)

摘　　要：SIS(Susceptible-Infected-Susceptible)病毒传播模型属于病毒传播中较为经典的一类传播模型。研究病毒在单向网络中传播的临界现象,以及传播概率、恢复概率和出度平均度对临界值的影响。理论分析表明,当恢复概率为定值时,网络传播临界值与网络的出度平均度呈反比例关系。恢复概率为1时,传播临界值与初度平均度同样呈反比例关系。传播概率为定值时,网络的恢复临界值与网络的出度平均度呈正比例关系,发生临界现象时,传播概率和恢复概率呈线性关系。实验结果表明,随着初始感染密度的不同,临界值的仿真值也存在差异,当恢复概率和出度平均度为定值时,随着初始感染密度的增大,临界值的仿真值也逐渐增大。同时,当传播概率和出度平均度为定值时,临界值的仿真值也随着初始感染密度的增大而增大。随着初始感染密度的增大,临界值的仿真值与理论值之间的误差逐渐变小。当初始感染密度接近于1时,临界值的仿真值大于理论值。SIS epidemic spreading model is a phenomena of virus propagating in unidirectional probability, recovery probability and average degree with the increase of one-way network average degree classical propagation model. This paper investigated the critical networks and the factors affecting the threshold by propagation of output. Theoretical analysis shows that the threshold decreases when the recovery probability is constant. The propagation threshold is also inversely proportional to the initial average when the recovery probability is one. When the propagation probability is constant, the threshold increases with the increase of the average degree. When a critical phenomenon occurs, the probabilities of propagation and recovery are linear. The simulation results also show that the thresholds vary with the initial density of infection. When the recovery probability and average degree of output are constant, the simulation value of threshold increases with the increase of the density of the initial infection. When the propagation probability and the average degree of output are fixed, the simulation value of threshold increases with the increase of the initial infection density. With the initial infection density increasing, the error between theoretical and simulation values reduces gradually. When the initial infection density closes to one, the simulation value will exceed the theoretical value.

关 键 词：病毒传播 单向网络 临界值 平均场理论 

分 类 号：N94[自然科学总论—系统科学] TP3[自动化与计算机技术—计算机科学与技术]