Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 66, Issue -, Pages 84-95Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2018.06.020
Keywords
Epidemic network; Stability analysis; Optimal control; Quarantine control
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Funding
- National Natural Science Foundation of China [61663006, 11661026, 11562006]
- Guangxi Natural Science Foundation Program [2015GXNSFBB139002]
- Guangxi Key Laboratory of Cryptography and Information Security [GCIS201612]
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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. (C) 2018 Elsevier B.V. All rights reserved.
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