Dynamics of epidemic spreading model with drug-resistant variation on scale-free networks

摘要

AbstractConsidering the influence of the virus’ drug-resistant variation, a novelSIVRS(susceptible–infected–variant–recovered–susceptible) epidemic spreading model with variation characteristic on scale-free networks is proposed in this paper. By using the mean-field theory, the spreading dynamics of the model is analyzed in detail. Then, the basic reproductive numberR0and equilibriums are derived. Studies show that the existence of disease-free equilibrium is determined by the basic reproductive numberR0. The relationships between the basic reproductive numberR0, the variation characteristic and the topology of the underlying networks are studied in detail. Furthermore, our studies prove the global stability of the disease-free equilibrium, the permanence of epidemic and the global attractivity of e