A delay SIR epidemic model with pulse vaccination and incubation times

doi:10.1016/j.nonrwa.2008.10.041

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	A delay SIR epidemic model with pulse vaccination and incubation times
	Meng, Xinzhu 1; Chen, Lansun 2; Wu, Bo 1
	2010-02-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	11 期号:1 页码:88-98
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.
关键词	Permanence Pulse vaccination Nonlinear incidence Time delay SIR epidemic model
DOI	10.1016/j.nonrwa.2008.10.041
语种	英语
资助项目	National Natural Science Foundation of China[10771179] ; Science and Development Foundation of SDUST[05g016]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000272420700009
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/10832
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.