Journal
PHYSICS LETTERS A
Volume 378, Issue 41, Pages 3028-3036Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2014.09.002
Keywords
Vaccination; Treatment; Global stability; Optimal control; Heterogeneous networks
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Funding
- National Natural Science Foundation of China [61174039, 11401274]
- Natural Science Foundation of Fujian Province [2013J01010]
- Program for Science and Technology Development Foundation of Fuzhou University [2011-XY-18]
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In this Letter, we firstly propose an epidemic network model incorporating two controls which are vaccination and treatment. For the constant controls, by using Lyapunov function, global stability of the disease-free equilibrium and the endemic equilibrium of the model is investigated. For the non-constant controls, by using the optimal control strategy, we discuss an optimal strategy to minimize the total number of the infected and the cost associated with vaccination and treatment. Table 1 and Figs. 1-5 are presented to show the global stability and the efficiency of this optimal control. (C) 2014 Elsevier B.V. All rights reserved.
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