Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
文献类型：期刊论文
| 作者 | Hui, J; Chen, LS |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
 |
| 出版日期 | 2004-08-01 |
| 卷号 | 4期号:3页码:595-605 |
| 关键词 | impulsive vaccination nonlinear incidence rates stability threshold bifurcation |
| ISSN号 | 1531-3492 |
| 英文摘要 | The impulsive vaccination strategies of the epidemic SIR models with nonlinear incidence rates (BISq)-S-p are considered in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact periodic infection-free solution of the impulsive epidemic system and prove that the periodic infection-free solution is globally asymptotically stable. In order to apply vaccination pulses frequently enough so as to eradicate the disease, the threshold for the period of pulsing, i.e. tau(max) is shown, further, by bifurcation theory, we obtain a supercritical bifurcation at this threshold, i.e. when tau > tau(max) and is closing to tau(max) there is a stable positive periodic solution. Throughout the paper, we find impulsive epidemiological models with nonlinear incidence rates (BISq)-S-p show a much wider range of dynamical behaviors than do those with bilinear incidence rate BSI and our paper extends the previous results, at the same time, theoretical results show that pulse vaccination strategy is distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination, therefore impulsive vaccination strategy provides a more natural, more effective vaccination strategy. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221965100010 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19235]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hui, J |
| 作者单位 | 1.Guangxi Inst Technol, Dept Informat & Computat Sci, Liuzhou 545006, Peoples R China 2.Acad Sinica, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hui, J,Chen, LS. Impulsive vaccination of SIR epidemic models with nonlinear incidence rates[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2004,4(3):595-605. |
| APA | Hui, J,&Chen, LS.(2004).Impulsive vaccination of SIR epidemic models with nonlinear incidence rates.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,4(3),595-605. |
| MLA | Hui, J,et al."Impulsive vaccination of SIR epidemic models with nonlinear incidence rates".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 4.3(2004):595-605. |
入库方式： OAI收割
来源：数学与系统科学研究院
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