Global Stability of a Mumps Transmission Model with Quarantine Measure

doi:10.1007/s10255-021-1035-7

CSpace

	Global Stability of a Mumps Transmission Model with Quarantine Measure
	Bai, Yu-zhen 1; Wang, Xiao-jing 1; Guo, Song-bai 1,2
	2021-10-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	37 期号:4 页码:665-672
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.
关键词	mumps transmission model control reproduction number quarantine measure global stability
DOI	10.1007/s10255-021-1035-7
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000705208600002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59396
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.