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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作  者:Lianwen Wang Zhijun Liu Dashun Xu Xinan Zhang 

机构地区:[1]School of Mathematics and Statistics Central China Normal University 430079 Wuhan, P. R. China [2]Department of Mathematics Hubei University for Nationalities 445000 Enshi Hubei, P. R. China [3]Department of Mathematics Southern Illinois University Carbondale, IL 62901, USA [4]School of Mathematics and Statistics Central China Normal University 530079 Wuhan, P. R. China

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).

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.

关 键 词:SVEIAR influenza model optimal control media coverage VACCINATION antiviral treatment. 

分 类 号:Q342.3[生物学—遗传学] TP273[自动化与计算机技术—检测技术与自动化装置]

 

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