Global dynamics of a mathematical model for HTLV-I infection of CD4(+) T-cells
文献类型：期刊论文
| 作者 | Cai, Liming1,2; Li, Xuezhi1; Ghosh, Mini3 |
| 刊名 | APPLIED MATHEMATICAL MODELLING
 |
| 出版日期 | 2011-07-01 |
| 卷号 | 35期号:7页码:3587-3595 |
| 关键词 | HTLV-I infection Adult T-cell leukemia Basic reproduction number Global stability |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2011.01.033 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000290190800038 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12430]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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