Global dynamics of a dengue epidemic mathematical model

doi:10.1016/j.chaos.2009.03.130

CSpace

	Global dynamics of a dengue epidemic mathematical model
	Cai, Liming 1,2; Guo, Shumin 3; Li, XueZhi 1; Ghosh, Mini 4
	2009-11-30
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	42 期号:4 页码:2297-2304
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.
DOI	10.1016/j.chaos.2009.03.130
语种	英语
资助项目	National Natural Science Foundation of China[10671166]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000269190000041
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8820
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.