An SVEIR Defending Model with Partial Immunization for Worms.

Abstract

Internet worms can propagate across networks horrendously, reduce network security remarkably, and cause economic losses heavily. How to quickly eliminate the Internet worms using partial immunization becomes a big issue for sustaining Internet infrastructure smoothly. This paper addresses this issue by presenting a novel worm attack model through incorporating a saturated incidence rate and a partial immunization rate, named SVEIR model. Using the basic reproduction number, we derive the global stability of the infection-free equilibrium and local stability of the unique endemic equilibrium. Numerical methods are employed to solve and simulate the developed system and also verify the proposed SVEIR model. Simulation results show that the partial immunization is highly effective for eliminating worms.