We establish an SEIaIdRS model to present the dynamics of epidemic on networks. Following the method of the next generation matrix, we derive the explicit formulas of the basic reproduction number R0. It shows that the asymptomatic infector plays an important role in disease spreading. By theoretical analysis, we find that the disease‐free equilibrium E0 is globally asymptotically stable if R0 ≤ 1; and the endemic equilibrium E+ is globally asymptotically stable if R0 > 1. At last, numerical simulations also show that the role that the asymptomatic infector plays in disease spreading on networks cannot be neglected.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.