Impulsive vaccination of SIR epidemic models with nonlinear incidence rates

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	Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
	Hui, J ; Chen, LS
	2004-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
ISSN	1531-3492
卷号	4 期号:3 页码:595-605
摘要	The impulsive vaccination strategies of the epidemic SIR models with nonlinear incidence rates (BISq)-S-p are considered in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact periodic infection-free solution of the impulsive epidemic system and prove that the periodic infection-free solution is globally asymptotically stable. In order to apply vaccination pulses frequently enough so as to eradicate the disease, the threshold for the period of pulsing, i.e. tau(max) is shown, further, by bifurcation theory, we obtain a supercritical bifurcation at this threshold, i.e. when tau > tau(max) and is closing to tau(max) there is a stable positive periodic solution. Throughout the paper, we find impulsive epidemiological models with nonlinear incidence rates (BISq)-S-p show a much wider range of dynamical behaviors than do those with bilinear incidence rate BSI and our paper extends the previous results, at the same time, theoretical results show that pulse vaccination strategy is distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination, therefore impulsive vaccination strategy provides a more natural, more effective vaccination strategy.
关键词	impulsive vaccination nonlinear incidence rates stability threshold bifurcation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000221965100010
出版者	AMER INST MATHEMATICAL SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19236
专题	中国科学院数学与系统科学研究院
通讯作者	Hui, J
作者单位	1.Guangxi Inst Technol, Dept Informat & Computat Sci, Liuzhou 545006, Peoples R China 2.Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hui, J,Chen, LS. Impulsive vaccination of SIR epidemic models with nonlinear incidence rates[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2004,4(3):595-605.
APA	Hui, J,&Chen, LS.(2004).Impulsive vaccination of SIR epidemic models with nonlinear incidence rates.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,4(3),595-605.
MLA	Hui, J,et al."Impulsive vaccination of SIR epidemic models with nonlinear incidence rates".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 4.3(2004):595-605.