Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells

doi:10.1016/j.apm.2011.01.033

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	Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells
	Cai, Liming 1,2; Li, Xuezhi 1; Ghosh, Mini 3
	2011-07-01
发表期刊	APPLIED MATHEMATICAL MODELLING
ISSN	0307-904X
卷号	35 期号:7 页码:3587-3595
摘要	In this paper, a mathematical model for HTLV-I infection of CD4(+) T-cells is investigated. The force of infection is assumed be of a function in general form, and the resulting incidence term contains, as special cases, the bilinear and the saturation incidences. The model can be seen as an extension of the model [Wang et al. Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression, Math. Biosci. 179 (2002) 207-217; Song, Li, Global stability and periodic solution of a model for HTLV-I infection and ATL progression, Appl. Math. Comput. 180(1) (2006) 401-410]. Mathematical analysis establishes that the global dynamics of T-cells infection is completely determined by a basic reproduction number R-0. If R-0 <= 1, the infection-free equilibrium is globally stable; if R-0 > 1, the unique infected equilibrium is globally stable in the interior of the feasible region. (C) 2011 Elsevier Inc. All rights reserved.
关键词	HTLV-I infection Adult T-cell leukemia Basic reproduction number Global stability
DOI	10.1016/j.apm.2011.01.033
语种	英语
资助项目	National Natural Science Foundation of China[10971178] ; University Key Teacher Foundation of Henan Province[2009GGJS-076] ; Innovative Research Team in Science and Technology in University of Henan Province[20101RTSTHN006] ; Natural Science Foundation of Henan Province[102300410022] ; Natural Science Foundation of Henan Province[2010B110020]
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000290190800038
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12431
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Liming
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China 3.VIT Univ, Sch Adv Sci, Vellore, Tamil Nadu, India
推荐引用方式 GB/T 7714	Cai, Liming,Li, Xuezhi,Ghosh, Mini. Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells[J]. APPLIED MATHEMATICAL MODELLING,2011,35(7):3587-3595.
APA	Cai, Liming,Li, Xuezhi,&Ghosh, Mini.(2011).Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells.APPLIED MATHEMATICAL MODELLING,35(7),3587-3595.
MLA	Cai, Liming,et al."Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells".APPLIED MATHEMATICAL MODELLING 35.7(2011):3587-3595.