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A delay SIR epidemic model with pulse vaccination and incubation times

文献类型：期刊论文

作者Meng, Xinzhu1; Chen, Lansun2; Wu, Bo1
刊名NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
出版日期2010-02-01
卷号11期号:1页码:88-98
关键词Permanence Pulse vaccination Nonlinear incidence Time delay SIR epidemic model
ISSN号1468-1218
DOI10.1016/j.nonrwa.2008.10.041
英文摘要In this paper, a new delay SIR epidemic model with pulse vaccination and incubation times is considered. We obtain an infection-free semi-trivial periodic solution and establish the sufficient conditions for the global attractivity of the semi-trivial periodic solution. By use of new computational techniques for impulsive differential equations with delay, we prove that the system is permanent under appropriate conditions. The results show that time delay, pulse vaccination and nonlinear incidence have significant effects on the dynamics behaviors of the model. Our results are illustrated and corroborated with some numerical experiments. (C) 2008 Elsevier Ltd. All rights reserved.
资助项目National Natural Science Foundation of China[10771179] ; Science and Development Foundation of SDUST[05g016]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000272420700009
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10831]  
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Meng, Xinzhu,Chen, Lansun,Wu, Bo. A delay SIR epidemic model with pulse vaccination and incubation times[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2010,11(1):88-98.
APA Meng, Xinzhu,Chen, Lansun,&Wu, Bo.(2010).A delay SIR epidemic model with pulse vaccination and incubation times.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,11(1),88-98.
MLA Meng, Xinzhu,et al."A delay SIR epidemic model with pulse vaccination and incubation times".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11.1(2010):88-98.

入库方式： OAI收割

来源：数学与系统科学研究院

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