The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission

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	The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
	Lu, ZH ; Chi, XB ; Chen, LS
	2002-12-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	36 期号:9-10 页码:1039-1057
摘要	A SIR epidemic model with horizontal and vertical transmission is presented. The dynamics of this disease model under constant and pulse vaccination are analyzed. Theoretical results show that under constant vaccination, the dynamic behavior is similar to no vaccination. But under a planned pulse vaccination regime, the system converges to a stable periodic solution with the number of infectious individuals equal to zero. Further, the global stability of an infection-free periodic solution is analyzed. And the existence of a nontrivial periodic solution (endemic) is considered by using bifurcation theory. Our theoretical results are confirmed by numerical simulations. The effectiveness of constant and pulse vaccination policies are compared. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	pulse vaccination horizontal and vertical transmission impulsive differential inequality bifurcation convergence
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000179831100009
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/17727
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, ZH
作者单位	1.Chinese Acad Sci, Comp Network Informat Ctr, Supercomp Ctr, Beijing 100080, Peoples R China 2.Xian Inst Finance & Econ, Dept Stat, Xian 710061, Peoples R China 3.Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lu, ZH,Chi, XB,Chen, LS. The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission[J]. MATHEMATICAL AND COMPUTER MODELLING,2002,36(9-10):1039-1057.
APA	Lu, ZH,Chi, XB,&Chen, LS.(2002).The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission.MATHEMATICAL AND COMPUTER MODELLING,36(9-10),1039-1057.
MLA	Lu, ZH,et al."The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission".MATHEMATICAL AND COMPUTER MODELLING 36.9-10(2002):1039-1057.