Stability of a Two-Strain Tuberculosis Model with General Contact Rate

doi:10.1155/2010/293747

	Stability of a Two-Strain Tuberculosis Model with General Contact Rate
	Huo, Hai-Feng1 ; Dang, Shuai-Jun 1; Li, Yu-Ning 2
	2022-10-20
发表期刊	ABSTRACT AND APPLIED ANALYSIS
ISSN	1085-3375
摘要	A two-strain tuberculosis model with general contact rate which allows tuberculosis patients with the drug-sensitive Mycobacterium tuberculosis strain to be treated is presented. The model includes both drug-sensitive and drug-resistant strains. A detailed qualitative analysis about positivity, boundedness, existence, uniqueness and global stability of the equilibria of this model is carried out. Analytical results of the model show that the quantities R(1) and R(2), which represent the basic reproduction numbers of the sensitive and resistant strains, respectively, provide the threshold conditions which determine the competitive outcomes of the two strains. Numerical simulations are also conducted to confirm and extend the analytic results.
DOI	10.1155/2010/293747
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000290323800001
出版者	HINDAWI PUBLISHING CORPORATION
引用统计	被引频次：15[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/155561
专题	学科建设与学位办公室
通讯作者	Huo, Hai-Feng
作者单位	1.Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China; 2.Lanzhou Univ, Hosp 1, Dept Pediat, Lanzhou 730000, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Huo, Hai-Feng,Dang, Shuai-Jun,Li, Yu-Ning. Stability of a Two-Strain Tuberculosis Model with General Contact Rate[J]. ABSTRACT AND APPLIED ANALYSIS,2022.
APA	Huo, Hai-Feng,Dang, Shuai-Jun,&Li, Yu-Ning.(2022).Stability of a Two-Strain Tuberculosis Model with General Contact Rate.ABSTRACT AND APPLIED ANALYSIS.
MLA	Huo, Hai-Feng,et al."Stability of a Two-Strain Tuberculosis Model with General Contact Rate".ABSTRACT AND APPLIED ANALYSIS (2022).