State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate
文献类型：期刊论文
| 作者 | Liu, Kaiyuan4; Zhang, Tongqian2,3; Chen, Lansun1 |
| 刊名 | COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
 |
| 出版日期 | 2019 |
| 页码 | 10 |
| ISSN号 | 1748-670X |
| DOI | 10.1155/2019/3859815 |
| 英文摘要 | In this paper, the state-dependent pulse vaccination and therapeutic strategy are considered in the control of the disease. A pulse system is built to model this process based on an SI ordinary differential equation model. At first, for the system neglecting the impulse effect, we give the classification of singular points. Then for the pulse system, by using the theory of the semicontinuous dynamic system, the dynamics is analyzed. Our analysis shows that the pulse system exhibits rich dynamics and the system has a unique order-1 homoclinic cycle, and by choosing p as the control parameter, the order-1 homoclinic cycle disappears and bifurcates an orbitally asymptotical stable order-1 periodic solution when p changes. Numerical simulations by maple 18 are carried out to illustrate the theoretical results. |
| 资助项目 | National Natural Science Foundation of China[11671346] ; National Natural Science Foundation of China[61751317] ; SDUST Research Fund[2014TDJH102] ; Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents |
| WOS研究方向 | Mathematical & Computational Biology |
| 语种 | 英语 |
| WOS记录号 | WOS:000459878400001 |
| 出版者 | HINDAWI LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33378]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Tongqian |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Shandong Prov & Minist Sci & Technol, Qingdao 266590, Peoples R China 3.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 4.Anshan Normal Univ, Coll Math & Informat Sci, Anshan 114016, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Kaiyuan,Zhang, Tongqian,Chen, Lansun. State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate[J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,2019:10. |
| APA | Liu, Kaiyuan,Zhang, Tongqian,&Chen, Lansun.(2019).State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate.COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,10. |
| MLA | Liu, Kaiyuan,et al."State-Dependent Pulse Vaccination and Therapeutic Strategy in an SI Epidemic Model with Nonlinear Incidence Rate".COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2019):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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