[1]丁春晓,朱元国.Zika病毒传播动力学模型及其最优控制[J].南京理工大学学报(自然科学版),2016,40(04):423.[doi:10.14177/j.cnki.32-1397n.2016.40.04.008]
 Ding Chunxiao,Zhu Yuanguo.Zika virus transmission dynamic model and its optimal control[J].Journal of Nanjing University of Science and Technology,2016,40(04):423.[doi:10.14177/j.cnki.32-1397n.2016.40.04.008]
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Zika病毒传播动力学模型及其最优控制
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
40卷
期数:
2016年04期
页码:
423
栏目:
出版日期:
2016-08-29

文章信息/Info

Title:
Zika virus transmission dynamic model and its optimal control
文章编号:
1005-9830(2016)04-0423-08
作者:
丁春晓12朱元国1
1.南京理工大学 理学院,江苏 南京 210094; 2.聊城大学 数学科学学院,山东 聊城 252059
Author(s):
Ding Chunxiao12Zhu Yuanguo1
1.School of Sciences,Nanjing University of Science and Technology,Nanjing 210094,China; 2.School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China
关键词:
Zika病毒 模型 稳定性 最优控制 传播动力学
Keywords:
Ziks virus models stability optimal control transmission dynamics
分类号:
O232
DOI:
10.14177/j.cnki.32-1397n.2016.40.04.008
摘要:
为了探究Zika病毒传播规律,创建了具有Logistic增长率的Zika病毒传播动力学模型。证明了模型无病平衡点和地方病平衡点的存在性,计算了疾病爆发阈值——基本再生数。随后,提出了基于模型的最优控制问题,给出了最优解存在的必要条件并求得了最优解。最后通过数值仿真例子,对比不同控制策略,证明了模型的有效性和控制策略的合理性。
Abstract:
In order to investigate the transimission law of Zika virus,we construct a Zika virus transmission dynamics model with Logistic growth rate.The existence of the disease free equilibrium and endemic equilibrium of the model are proved.The basic reproduction number is calculated to demonstrate the threshold of the disease outbreak.Based on the model,we present the corresponding optimal control problem,propose the necessary condition for the existence of the solution,and obtain the optimal solution.Finally,numerical simulations of different control strategies give the effectiveness of the model and the rationality of control strategies.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2016-05-13 修回日期:2016-06-11
基金项目:国家自然科学基金(61273009)
作者简介:丁春晓(1987-),女,博士生,主要研究方向:最优控制,生物数学,E-mail:dingchunxiao1987@163.com; 通讯作者:朱元国(1965-),男,教授,博士生导师,主要研究方向:不确定系统最优控制,智能算法等,E-mail:ygzhu@njust.edu.cn。
引文格式:丁春晓,朱元国.Zika病毒传播动力学模型及其最优控制[J].南京理工大学学报,2016,40(4):423-430.
投稿网址::http://zrxuebao.njust.edu.cn
更新日期/Last Update: 2016-06-30