Epidemic spreading with nonlinear infectivity in weighted scale-free networks

In this paper, we investigate the epidemic spreading for the SIR model in weighted scale-free networks with the nonlinear infectivity and weighted transmission rate. Concretely, we introduce the infectivity exponent αα and the weight exponent ββ into the epidemic system, then examine the impact of αα and ββ on the epidemic spreading. We show that one can adjust the values of αα and ββ to rebuild a nonzero finite epidemic threshold. Furthermore, we also find the infectivity exponent αα has a stronger effect not only on the epidemic threshold, but also on the epidemic prevalence. In addition, it is also interesting to see that the absence of the epidemic threshold appears not very dejected, since the prevalence grows much more slowly as the transmission rate λλ increases.