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Global dynamics and optimal control of an influenza model with vaccination, media coverage and treatment

Global dynamics and optimal control of an influenza model with vaccination, media coverage and treatment
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摘要 In this work, in order to identify the most effective measure and combinations of several measures to control influenza spread, we propose an SVEIAR influenza model with imperfect vaccination, media coverage and antiviral treatment. The global dynamics of the model is explored. Sensitivity analysis of the basic reproduction number and the endemic equilibrium is conducted to evaluate the effectiveness of influenza control measures. Purthermore, an optimal control problem incorporating the three measures is formulated to design optimal control strategies for influenza. The cost-effectiveness analysis reveals that combining the three measures is the most cost-effective among the strategies considered. Numerical simulations show that media propaganda can play a dominant role in curbing influenza transmission.
出处 《International Journal of Biomathematics》 2017年第5期159-183,共25页 生物数学学报(英文版)
基金 Acknowledgments The work was supported by National Natural Science Foundation of China (Nos. 11261017, 11371161), and the key scientific research project of Education Department of Hubei Province of China (No. D20101902).
关键词 SVEIAR influenza model optimal control media coverage VACCINATION antiviral treatment. 最优控制策略 抗病毒治疗 ar模型 全局动力学 流感 接种 媒介 覆盖
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