Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7154415 | Communications in Nonlinear Science and Numerical Simulation | 2019 | 12 Pages |
Abstract
In order to better understand and utilize the quarantine control when encountering outbreaks of infectious diseases, this paper introduces a nonlinear SIQS epidemic model on complex networks. By using complex network theory and Lyapunov function method, we obtain its basic reproduction number and global stability of both disease-free equilibrium and endemic equilibrium. Moreover, we investigate the optimal quarantine control problem for reducing control cost. By applying the optimal control theory, we obtain existence and uniqueness of the optimal control and the model's optimal solution. These results are verified by some numerical examples, and the influence of network structure on the optimal control is also studied.
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Mechanical Engineering
Authors
Kezan Li, Guanghu Zhu, Zhongjun Ma, Lijuan Chen,