Global dynamics of a dengue epidemic mathematical model
文献类型：期刊论文
| 作者 | Cai, Liming1,2; Guo, Shumin3; Li, XueZhi1; Ghosh, Mini4 |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2009-11-30 |
| 卷号 | 42期号:4页码:2297-2304 |
| ISSN号 | 0960-0779 |
| DOI | 10.1016/j.chaos.2009.03.130 |
| 英文摘要 | The paper investigates the global stability of a dengue epidemic model with saturation and bilinear incidence. The constant human recruitment rate and exponential natural death, as well as vector population with asymptotically constant population, are incorporated into the model. The model exhibits two equilibria, namely, the disease-free equilibrium and the endemic equilibrium. The stability of these two equilibria is controlled by the threshold number R(0). It is shown that if R(0) is less than one, the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist; if R(0) is greater than one, then the disease persists and the unique endemic equilibrium is globally asymptotically stable. (C) 2009 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[10671166] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000269190000041 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8819]  |
| 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.Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Beijing Inst Informat Control, Beijing 100037, Peoples R China 4.Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India |
| 推荐引用方式 GB/T 7714 | Cai, Liming,Guo, Shumin,Li, XueZhi,et al. Global dynamics of a dengue epidemic mathematical model[J]. CHAOS SOLITONS & FRACTALS,2009,42(4):2297-2304. |
| APA | Cai, Liming,Guo, Shumin,Li, XueZhi,&Ghosh, Mini.(2009).Global dynamics of a dengue epidemic mathematical model.CHAOS SOLITONS & FRACTALS,42(4),2297-2304. |
| MLA | Cai, Liming,et al."Global dynamics of a dengue epidemic mathematical model".CHAOS SOLITONS & FRACTALS 42.4(2009):2297-2304. |
入库方式： OAI收割
来源：数学与系统科学研究院
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