Epidemic spreading and global stability of an SIS model with an infective vector on complex networks

• A new SIS model with delay on scale-free networks is proposed.
• The model is suitable for epidemics transmitted by both a vector and direct contacts.
• The epidemic threshold is obtained and the global stability of equilibria is proven.
• The delay may effect the epidemic spreading.

In this paper, we present a new SIS model with delay on scale-free networks. The model is suitable to describe some epidemics which are not only transmitted by a vector but also spread between individuals by direct contacts. In view of the biological relevance and real spreading process, we introduce a delay to denote average incubation period of disease in a vector. By mathematical analysis, we obtain the epidemic threshold and prove the global stability of equilibria. The simulation shows the delay will effect the epidemic spreading. Finally, we investigate and compare two major immunization strategies, uniform immunization and targeted immunization.