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Dynamical analysis of a mathematical model of disease spreading on networks with symptomatic and asymptomatic infectors
Author(s) -
Zhang Lei,
Liu Maoxing,
Hou Qiang
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6981
Subject(s) - basic reproduction number , asymptomatic , mathematics , stability theory , disease , statistical physics , mathematical economics , medicine , physics , population , quantum mechanics , environmental health , pathology , nonlinear system
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.