Abstract:

According to worm propagation,a SIRS propagation model of susceptible hosts with constant recruitment and standard incidence rate is proposed. Considering that the total host count is dynamically changed during the propagation, the qualitative and stability theory of the differential equation is applied to analyze the model. Not only the propagation regularity of worm virus but also the effects of different factors on the worm virus control are discussed. And the Abilene network is used to analyze the effects of network topology on worm propagation rate. At last, the worm data provided by CAIDA are used to test the model.

Key words: worm;propagation model;global asymptotic stability;numerical simulation