Global Stability of a Mumps Transmission Model with Quarantine Measure
文献类型：期刊论文
| 作者 | Bai, Yu-zhen1; Wang, Xiao-jing1; Guo, Song-bai1,2 |
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2021-10-01 |
| 卷号 | 37期号:4页码:665-672 |
| ISSN号 | 0168-9673 |
| 关键词 | mumps transmission model control reproduction number quarantine measure global stability |
| DOI | 10.1007/s10255-021-1035-7 |
| 英文摘要 | In this paper, a model of mumps transmission with quarantine measure is proposed and then the control reproduction number Script capital R-c of the model is obtained. This model admits a unique endemic equilibrium P* if and only if R-c > 1, while the disease-free equilibrium P-0 always exists. By using the technique of constructing Lyapunov functions and the generalized Lyapunov-LaSalle theorem, we first show that the equilibrium P-0 is globally asymptotically stable (GAS) if R-c <= 1; second, we prove that the equilibrium P* is GAS if R-c > 1. Our results reveal that mumps can be eliminated from the community for Script capital R-c <= 1 and it will be persistent for Script capital R-c > 1, and quarantine measure can also effectively control the mumps transmission. |
| 资助项目 | National Natural Science Foundation of China[11901027] ; National Natural Science Foundation of China[11871093] ; Scientific Research Project of Beijing Municipal Education Commission[KM201910016001] ; Pyramid Talent Training Project of BUCEA[JDYC20200327] ; Bill & Melinda Gates Foundation[INV005834] ; Fundamental Research Funds for Beijing Universities[X20083] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | SPRINGER HEIDELBERG |
| WOS记录号 | WOS:000705208600002 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59395]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo, Song-bai |
| 作者单位 | 1.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 102616, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, Yu-zhen,Wang, Xiao-jing,Guo, Song-bai. Global Stability of a Mumps Transmission Model with Quarantine Measure[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2021,37(4):665-672. |
| APA | Bai, Yu-zhen,Wang, Xiao-jing,&Guo, Song-bai.(2021).Global Stability of a Mumps Transmission Model with Quarantine Measure.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,37(4),665-672. |
| MLA | Bai, Yu-zhen,et al."Global Stability of a Mumps Transmission Model with Quarantine Measure".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 37.4(2021):665-672. |
入库方式： OAI收割
来源：数学与系统科学研究院
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