Research On The Spreading Model Of Network Viruses

The mathematics model of network virus propagation is means and tool which studies calculator virus, and is an important contents which studies the characteristic of the propagation of the network virus. A sound virus propagation of the network model can well reflect the propagation behavior of that type of network virus characteristic.Build up an expanded spreading model that an exactitude reflection of network virus propagation characteristic, at the base of the analytical spread model of the traditional network virus. Expand model comprehensive consider virus infection rate, virus immunity rate, virus insulation rate, virus again infection rate and prepare of virus immunity five factors, among them, the virus infection rate be a continuous function.The appearance machine of the expanded spreading model of network virus, the relation of the network viruses expanded spreading model and the traditional spread model of the network virus, the expanded model solution and the related parameter of the network virus expand model to carry on analysis, the point discusses two problems: the relation of the virus infection function and the biggest infection period of the network virus propagation, the influence of the different positive and anti- factor upon the network virus dissemination.The conclusion through the analysis of the new expand model: the dissemination of network virus can take place to depend on the virus infection function, virus again the contact of infection rate and virus immunity rate threes be whole; The pole value piece of virus infection function influences the biggest infection period variety of network virus; The dissemination process of network virus can terminate to be decided by a positive factor and the positive factor in the expand model represses the dissemination of network virus, but the anti- factor promote the dissemination of network virus.At the base of the Classical Simple Epidemic Model, build up a new network virus propagation model derived from the idea of Grey Theory, with significance of fewer requirements on original data scale, less limitation of the distribution patter of the original data.Finally, the paper carries out the simulation test and finds the simulation results confirm our analytic results, the network virus spread of expand model and the new grey spreading model of the network virus can describe the propagation circumstance of the network virus.