中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
DOI10.1016/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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