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The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
Meng, Xinzhu1; Chen, Lansun2
2008-04-01
发表期刊APPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
卷号197期号:2页码:582-597
摘要A new SIR epidemic model with vertical and horizontal transmission is proposed, and the dynamics of this disease model under constant and pulse vaccination are analyzed. Firstly, global stability of the endemic equilibrium states of the model with constant vaccination is thereby established. Further, we show that there exists a stable 'infection-free' periodic solution when the period of impulsive effect is less than some critical value. The condition for the permanence of the system with pulse vaccination is also given, which implies the periodic bursts of epidemic occurs. Numerical simulation shows system with pulse vaccination has more complex dynamic behavior for positive periodic oscillation, 'infection free' quasi-periodic oscillation than system with constant vaccination. Finally, we compare validity of the strategy of pulse vaccination with no vaccination and constant vaccination, and conclude that pulse vaccination strategy is more effective than no vaccination and continuous vaccination. (c) 2007 Elsevier Inc. All rights reserved.
关键词permanence pulse vaccination vertical transmission periodic solution
DOI10.1016/j.amc.2007.07.083
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000254254200012
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/6321
专题中国科学院数学与系统科学研究院
通讯作者Meng, Xinzhu
作者单位1.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China
2.Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
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Meng, Xinzhu,Chen, Lansun. The dynamics of a new SIR epidemic model concerning pulse vaccination strategy[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,197(2):582-597.
APA Meng, Xinzhu,&Chen, Lansun.(2008).The dynamics of a new SIR epidemic model concerning pulse vaccination strategy.APPLIED MATHEMATICS AND COMPUTATION,197(2),582-597.
MLA Meng, Xinzhu,et al."The dynamics of a new SIR epidemic model concerning pulse vaccination strategy".APPLIED MATHEMATICS AND COMPUTATION 197.2(2008):582-597.
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