Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination

doi:10.1016/j.amc.2006.07.124

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	Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
	Meng, Xinzhu ; Chen, Lansun ; Cheng, Huidong
	2007-03-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	186 期号:1 页码:516-529
摘要	A new SEIRS epidemic disease model with two profitless delays and nonlinear incidence are proposed, and the dynamic behaviors of the model under pulse vaccination are analyzed. Using the discrete dynamical system determined by the stroboscopic map, we show that there exists a 'infection-free' periodic solutions, further, we show that the 'infection-free' periodic solution is globally attractive when the period of impulsive effect is less than some critical value. Using a new modeling method, we obtain sufficient condition for the permanence of the epidemic model with pulse vaccination. We show that time delays, pulse vaccination and nonlinear incidence can bring different effects on the dynamic behaviors of the model by numerical analysis. Our results also show the delays are "profitless". In this paper, the main feature is to introduce two discrete time delays and impulse into SEIRS epidemic model and to give pulse vaccination strategies. (c) 2006 Elsevier Inc. All rights reserved.
关键词	permanence pulse vaccination nonlinear incidence time delay global attractivity
DOI	10.1016/j.amc.2006.07.124
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000245999000054
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/4053
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.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China 2.Shandong Univ Sci & Technol, Coll Sci, Qingdao 266510, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xinzhu,Chen, Lansun,Cheng, Huidong. Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,186(1):516-529.
APA	Meng, Xinzhu,Chen, Lansun,&Cheng, Huidong.(2007).Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination.APPLIED MATHEMATICS AND COMPUTATION,186(1),516-529.
MLA	Meng, Xinzhu,et al."Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination".APPLIED MATHEMATICS AND COMPUTATION 186.1(2007):516-529.