Optimal vaccination and treatment of an epidemic network model |
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Authors: | Lijuan Chen Jitao Sun |
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Affiliation: | 1. Department of Mathematics, Tongji University, Shanghai 200092, PR China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, PR China |
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Abstract: | 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. |
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Keywords: | Vaccination Treatment Global stability Optimal control Heterogeneous networks |
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