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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
Source PublicationMATHEMATICAL AND COMPUTER MODELLING
ISSN0895-7177
Volume36Issue:9-10Pages:1039-1057
AbstractA 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.
Keywordpulse vaccination horizontal and vertical transmission impulsive differential inequality bifurcation convergence
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000179831100009
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:96[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17727
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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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.
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