Dynamical analysis of a mathematical model of disease spreading on networks with symptomatic and asymptomatic infectors. (10th November 2020)

• Record Type: Journal Article
• Authors: Zhang, Lei; Liu, Maoxing; Hou, Qiang
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 5(2021)
• Page Start: 3771
• Page End: 3785
• Publication Date: 2020-11-10
• Subjects: asymptomatic infector -- disease -- networks -- symptomatic infector -- the basic reproduction number; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6981
• Languages: English
• ISSNs: 0170-4214

Abstract

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.