Research And Stability Analysis Of Computer Virus Propagation Model

With the rapid development and wide application of Internet technology,network security has become the focus of attention.As one of the major threats to network security,computer viruses seriously affect people's normal life and work.This thesis is devoted to analyzing the intrinsic characteristics of computer virus propagation.We take into account the influence of the internal and external factors of the computer network on computer viruses propagation,and establish two dynamic models that reflect the laws of computer virus propagation from different angles.The model is analyzed through in-depth theoretical derivation and detailed numerical simulation.The main research results obtained in this paper are as follows.(1)The impact of the difference in input rate and removal rate of internal computers on computer viruses is studied.This thesis presents computer virus propagation models with different input rates and removal rates.The conditions for the stability of the model is gave.The stability of equilibrium point is proved by the propagation dynamics related theorem.The results of theoretical analysis have been verified via numerical simulations.We analyze the effects of relevant parameters on the basic regeneration number and infected computer,and validate the validity of different input rate removal rate propagation model.(2)The effects of external factors such as external computers and mobile media on computer virus propagation are studied.Based on the characteristics of computer viruses propagation by external computers and mobile media,we divide the mobile media into single compartments and consider the cross infections between mobile media and internal computers.A propagation model based on external computers and mobile media is established.Unlike the traditional model,this model has only one viral equilibrium point.The stability conditions of the model are analyzed.The stability of the equilibrium point is proved by the propagation dynamics related theorem and numerical simulation experiments.The effects of relevant parameters on infected internal computers are analyzed via numerical simulation experiments.Finally,the acceptable threshold and control strategy of the model are discussed.The proposed model is compared with the traditional model,which shows that the proposed model is reasonable and effective.In summary,this thesis analyzes the computer viruses propagation from different angles,and proposes the propagation models with different input and removal rates and propagation models based on external computers and mobile media.The theoretical and numerical simulations of these two models are carried out,and the relevant conclusions are provided a powerful theoretical basis for controlling computer viruses propagation.