Dynamical analysis of a mathematical model of disease spreading on networks with symptomatic and asymptomatic infectors. (10th November 2020) - Zhang, Lei
Abstract : We establish an S E I a I d R S 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 R 0 . It shows that the asymptomatic infector plays an important role in disease spreading. By theoretical analysis, we find that the disease‐free equilibrium E 0 is globally asymptotically stable if R 0 ≤ 1; and the endemic equilibrium E + is globally asymptotically stable if R 0 > 1. At last, numerical simulations also show that the role that the asymptomatic infector plays in disease spreading on networks cannot be neglected.