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

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成果类型:
期刊论文
作者:
Wang, Lianwen;Liu, Zhijun*;Xu, Dashun;Zhang, Xinan
通讯作者:
Liu, Zhijun
作者机构:
[Zhang, Xinan; Wang, Lianwen] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Liu, Zhijun; Xu, Dashun; Wang, Lianwen] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China.
[Xu, Dashun] Southern Illinois Univ, Dept Math, Carbondale, IL 62901 USA.
通讯机构:
[Liu, Zhijun] H
Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China.
语种:
英文
关键词:
SVEIAR influenza model;optimal control;media coverage;vaccination;anti-viral treatment
关键词(中文):
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
期刊:
生物数学学报:英文版
ISSN:
1793-5245
年:
2017
卷:
10
期:
5
页码:
1750068
基金类别:
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).
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
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. Furthermore, an optimal control problem incorporating the three measures is formulated to design optimal control strategies for influenza. The cost-effectiveness ana...

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