SIVR spreading model with anti-virus factor in complex networks

Abstract

Complex networks portray a multitude of interactions through which infectious diseases propagate in a society. Tight attraction has been focus on the dynamics of epidemic spreading in complex networks. In this paper, a new epidemic spreading model with anti-virus, Susceptible-Infected-Variant-Recovery (SIVR) model, is proposed. This model extends the classical Susceptible-Infected-Recovery (SIR) epidemic spreading model with considering anti-virus class affection. Mean-field equations are derived by describing the dynamics behaviors of the SIVR model in complex networks. Then steady-state analysis for this model is conducted to investigate the process of epidemic spreading under different spreading rate, recovery rate, variant rate, and the average degree of networks. Meanwhile, epidemic immunization strategies are discussed for the immunization threshold in homogeneous networks. Numerical simulations are conducted to illustrate the relationship between the factors of the epidemic spreading. It is found that contact variant rate accelerates the epidemic terminal time and increases the maximum epidemic influence.