Dynamics of tuberculosis with fast and slow progression and media coverage

doi:10.3934/mbe.2019055

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Dynamics of tuberculosis with fast and slow progression and media coverage
	Zhang, Ya-Dong; Huo, Hai-Feng; Xiang, Hong
刊名	MATHEMATICAL BIOSCIENCES AND ENGINEERING
	2019
卷号	16 期号:3 页码:1150-1170
关键词	tuberculosis media coverage fast and slow progression basic reproductive number bifurcation
ISSN号	1547-1063
DOI	10.3934/mbe.2019055
英文摘要	A new tuberculosis model with fast and slow progression and media coverage is formulated and analyzed. The basic reproductive number R-0 is derived, and the existence and stability of all the equilibria are discussed. The occurrences of forward and backward bifurcation are obtained by using center manifold theory. Numerical simulations are also given to support our theoretical results. Sensitivity analysis on a few parameters is also carried out. Our results show that media coverage can encourage people to take measures to avoid potential infections and control the spread of tuberculosis.
资助项目	National Natural Science Foundation of China[11861044][11661050]
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000465431200005
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32218]
专题	理学院材料科学与工程学院附属中学学科建设与学位办公室
通讯作者	Huo, Hai-Feng
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ya-Dong,Huo, Hai-Feng,Xiang, Hong. Dynamics of tuberculosis with fast and slow progression and media coverage[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2019,16(3):1150-1170.
APA	Zhang, Ya-Dong,Huo, Hai-Feng,&Xiang, Hong.(2019).Dynamics of tuberculosis with fast and slow progression and media coverage.MATHEMATICAL BIOSCIENCES AND ENGINEERING,16(3),1150-1170.
MLA	Zhang, Ya-Dong,et al."Dynamics of tuberculosis with fast and slow progression and media coverage".MATHEMATICAL BIOSCIENCES AND ENGINEERING 16.3(2019):1150-1170.