Global stability of a stage-structured epidemic model with a nonlinear incidence

doi:10.1016/j.amc.2009.03.088

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	Global stability of a stage-structured epidemic model with a nonlinear incidence
	Cai, Li-Ming 1,2; Li, Xue-Zhi 1; Ghosh, Mini 3
	2009-08-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	214 期号:1 页码:73-82
摘要	In this paper, a stage-structured epidemic model with a nonlinear incidence with a factor S(p) is investigated. By using limit theory of differential equations and Theorem of Busenberg and van den Driessche, global dynamics of the model is rigorously established. We prove that if the basic reproduction number R(0) is less than one, the disease-free equilibrium is globally asymptotically stable and the disease dies out; if R(0) is greater than one, then the disease persists and the unique endemic equilibrium is globally asymptotically stable. Numerical simulations support our analytical results and illustrate the effect of p on the dynamic behavior of the model. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Epidemic model Stage structure Global stability
DOI	10.1016/j.amc.2009.03.088
语种	英语
资助项目	National Natural Science Foundation of China[10671166]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000267585200011
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/8245
专题	中国科学院数学与系统科学研究院
通讯作者	Cai, Li-Ming
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.Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India
推荐引用方式 GB/T 7714	Cai, Li-Ming,Li, Xue-Zhi,Ghosh, Mini. Global stability of a stage-structured epidemic model with a nonlinear incidence[J]. APPLIED MATHEMATICS AND COMPUTATION,2009,214(1):73-82.
APA	Cai, Li-Ming,Li, Xue-Zhi,&Ghosh, Mini.(2009).Global stability of a stage-structured epidemic model with a nonlinear incidence.APPLIED MATHEMATICS AND COMPUTATION,214(1),73-82.
MLA	Cai, Li-Ming,et al."Global stability of a stage-structured epidemic model with a nonlinear incidence".APPLIED MATHEMATICS AND COMPUTATION 214.1(2009):73-82.