Analysis of an SEIVR Epidemic Model with Partial Immunization and Nonlinear Infection Rate

In this paper, an epidemic model describing the transmission dynamics of a worm with partial immunization and nonlinear rate is investigated. Using this SVEIR model, we obtain the basic reproduction number for determining whether the worm dies out completely. The global stabilities of infection-free and endemic equilibriums are proven by using two different Lyapunov functions. The impact of different parameters of this model is studied. Simulation results show that the number of susceptible and infected hosts is consistent with theoretical analysis. The model provides a theoretical foundation for control and forecasting Internet worms.