The Epidemic Threshold of a More General Epidemic Spreading Model for Network Viruses

Deferent from the other epidemic models, this paper focus on the different spreading features of network viruses compared with biological viruses such as the connectivity rate of the net is variable and that is also the key factor determining the existence of the threshold. Based on a more general epidemic model of the network viruses we constructed in another paper, this paper presents the solution to the model, and then gets the conclusion: if the speed of viruses' propagation varies with the network connectivity rate and their curing rates are relatively small, then the epidemic thresholds do not exist. For the particular case of the connectivity rate the paper carries out the simulation test and finds it is consistent well with the statistics of the real viruses. Thus the paper replies the two open problems about the epidemic model of computer virus model proposed by White.