Global stability of an SIR model with two susceptible groups on complex networks

In this paper, an SIR model with two susceptible groups is proposed and analyzed on complex networks, where contacts between human are treated as a scale-free social network. The basic reproduction number R0R0 is obtained, and it is established that the disease-free equilibrium is locally and globally asymptotically stable if R0≤1R0≤1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, which is globally asymptotically stable. Finally, the numerical simulations verify our conclusions and some discussions of vaccination strategies are done to suggest that a promising way for the control of infectious diseases.