Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment

doi:10.1007/s00285-023-01999-1

	Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment
	Guo, Zhong-Kai 1; Huo, Hai-Feng 2; Xiang, Hong 2; Ren, Qiu-Yan3
	2023-11
发表期刊	JOURNAL OF MATHEMATICAL BIOLOGY
卷号	87 期号:5
摘要	Since there exists heterogeneity in incubation periods of tuberculosis and a time lag between treatment and recovery. In this study, we develop a tuberculosis model that takes into account age-dependent latency and time delays in treatment to describe the transmission of tuberculosis. We first show that the solution semi-flow of the model is well-posed and has a global attractor D within an infinite dimensional space . Then we define the basic reproduction number R-0 and prove that it determines the global dynamics of the model. If R-0 < 1, the global attractor D reduces to the diseasefree equilibrium state, indicating that the disease-free equilibrium state is globally asymptotically stable. When R-0 > 1, the semi-flow generated by the model is uniformly persistent, and there exists an interior global attractor D-0 for this uniformly persistent model. By constructing a suitable Lyapunov function and applying LaSalle's Invariance Principle, we show that the global attractor D-0 is reduced to the endemic equilibrium state, which means that the endemic equilibrium state is globally asymptotically stable. Based on the tuberculosis data in China from 2007 to 2020, we simulate the parameters and initial values of the proposed model. Furthermore, we calculate the sensitivity of R-0 to the parameters and find the most sensitive parameters to R-0. Finally, we present an improved strategy to achieve the WHO's goal of reducing the incidence of tuberculosis by 90% by 2035 compared to 2015.
关键词	Tuberculosis Age-dependent Delay Global stability Numerical simulation
DOI	10.1007/s00285-023-01999-1
收录类别	SCIE
ISSN	0303-6812
语种	英语
WOS研究方向	Life Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS类目	Biology ; Mathematical & Computational Biology
WOS记录号	WOS:001081602600001
出版者	SPRINGER HEIDELBERG
原始文献类型	Article
EISSN	1432-1416
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/35355
专题	信息工程与人工智能学院
通讯作者	Huo, Hai-Feng
作者单位	1.Lanzhou Jiaotong Univ, Sch Traff & Transportat, Lanzhou 730070, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 3.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730101, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Guo, Zhong-Kai,Huo, Hai-Feng,Xiang, Hong,et al. Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment[J]. JOURNAL OF MATHEMATICAL BIOLOGY,2023,87(5).
APA	Guo, Zhong-Kai,Huo, Hai-Feng,Xiang, Hong,&Ren, Qiu-Yan.(2023).Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment.JOURNAL OF MATHEMATICAL BIOLOGY,87(5).
MLA	Guo, Zhong-Kai,et al."Global dynamics of a tuberculosis model with age-dependent latency and time delays in treatment".JOURNAL OF MATHEMATICAL BIOLOGY 87.5(2023).