Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
文献类型：期刊论文
| 作者 | Meng, Xinzhu; Chen, Lansun; Cheng, Huidong |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-03-01 |
| 卷号 | 186期号:1页码:516-529 |
| 关键词 | permanence pulse vaccination nonlinear incidence time delay global attractivity |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.07.124 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245999000054 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4052]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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