MODELLING AND ANALYSIS OF AN HIV/AIDS MODEL WITH DIFFERENT WINDOW PERIOD AND TREATMENT

doi:10.11948/20200279

	MODELLING AND ANALYSIS OF AN HIV/AIDS MODEL WITH DIFFERENT WINDOW PERIOD AND TREATMENT
	Huo, Hai-Feng; Gu, Li-Na; Xiang, Hong
刊名	JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
	2021-08
卷号	11 期号:4 页码:1927-1950
关键词	Treatment window period forward bifurcation optimal control
ISSN号	2156-907X
DOI	10.11948/20200279
英文摘要	A novel HIV/AIDS model with different window period and treatment is proposed. Window period individuals and latent individuals are divided into two types: treated and untreated in our model. The basic reproduction number R-0 is obtained by using the next generation matrix. Stability of the disease-free equilibrium and existence of the endemic equilibrium is derived. Using the theory of central manifold, the generation of forward bifurcation is established. Existence of the optimal control pair is analyzed and the mathematical expression of the optimal control is also given by the Pontryagin maximum principle. The best-fit parameter values in our model are identified by the MCMC algorithm on the basis of the AIDS data in Gansu province of China from 2004 to 2019. We also estimate that the basic reproduction number R-0 is 2.1985 (95%CI: (1.3535-3.0435)). Numerical simulation and sensitivity analysis of several parameters are also presented. Our results suggest that individuals who are in the stage of window period for AIDS should receive treatment, and this plays a key role in the prevention and control of HIV/AIDS.
WOS研究方向	Mathematics
语种	英语
出版者	WILMINGTON SCIENTIFIC PUBLISHER, LLC
WOS记录号	WOS:000680808700016
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148633]
专题	学科建设与学位办公室理学院
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	Huo, Hai-Feng,Gu, Li-Na,Xiang, Hong. MODELLING AND ANALYSIS OF AN HIV/AIDS MODEL WITH DIFFERENT WINDOW PERIOD AND TREATMENT[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2021,11(4):1927-1950.
APA	Huo, Hai-Feng,Gu, Li-Na,&Xiang, Hong.(2021).MODELLING AND ANALYSIS OF AN HIV/AIDS MODEL WITH DIFFERENT WINDOW PERIOD AND TREATMENT.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,11(4),1927-1950.
MLA	Huo, Hai-Feng,et al."MODELLING AND ANALYSIS OF AN HIV/AIDS MODEL WITH DIFFERENT WINDOW PERIOD AND TREATMENT".JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 11.4(2021):1927-1950.