Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control
文献类型：期刊论文
| 作者 | Guo, Hongjian1; Chen, Lansun2; Song, Xinyu1 |
| 刊名 | INTERNATIONAL JOURNAL OF BIOMATHEMATICS
 |
| 出版日期 | 2017-10-01 |
| 卷号 | 10期号:7页码:21 |
| 关键词 | SIR model impulsive feedback control vaccination limit set periodic solution |
| ISSN号 | 1793-5245 |
| DOI | 10.1142/S1793524517500930 |
| 英文摘要 | Considering the fact t hat the product ion and provision of some vaccines are ordered and governed by the government according to the history data of disease, a kind of SIR model with constant vaccination rate and impulsive state feedback control is presented. The dynamical properties of semi-continuous three-dimensional SIR system can be obtained by discussing the properties of the corresponding two-dimensional system in the limit set. The existence and uniqueness of order-1 periodic solution are discussed by using the successive function and the compression mapping theorem . A new theorem for the orbital stability of order-1 periodic solution is proved by geometric method. Finally, numerical simulations are given to verify the mathematical results and some conclusions are given. The results show that the disease can be controlled to a lower level by means of impulsive state feedback control strategy, but cannot be eradicated. |
| 资助项目 | Nanhu Scholars Program for Young Scholars of XYNU ; Program for Science and Technology Innovation Talents in Universities of Henan Province[14HASTIT046] ; National Natural Science Foundation of China[11371306] ; National Natural Science Foundation of China[11671346] |
| WOS研究方向 | Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000414208700003 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26934]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Hongjian; Song, Xinyu |
| 作者单位 | 1.Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Hongjian,Chen, Lansun,Song, Xinyu. Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2017,10(7):21. |
| APA | Guo, Hongjian,Chen, Lansun,&Song, Xinyu.(2017).Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control.INTERNATIONAL JOURNAL OF BIOMATHEMATICS,10(7),21. |
| MLA | Guo, Hongjian,et al."Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control".INTERNATIONAL JOURNAL OF BIOMATHEMATICS 10.7(2017):21. |
入库方式： OAI收割
来源：数学与系统科学研究院
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