Complex Dynamics of an SIR Epidemic Model with Nonlinear Saturate Incidence and Recovery Rate
文献类型：期刊论文
| 作者 | Cui, Qianqian1; Qiu, Zhipeng1; Liu, Wenbin2; Hu, Zengyun3,4 |
| 刊名 | ENTROPY
 |
| 出版日期 | 2017-07-01 |
| 卷号 | 19期号:7页码:16 |
| 关键词 | nonlinear saturate incidence rare nonlinear recovery rate number of hospital beds backward bifurcation saddle-node bifurcation Hopf bifurcation |
| ISSN号 | 1099-4300 |
| DOI | 10.3390/e19070305 |
| 通讯作者 | Hu, Zengyun(huzengyun@ms.xjb.ac.cn) |
| 英文摘要 | Susceptible-infectious-removed (SIR) epidemic models are proposed to consider the impact of available resources of the public health care system in terms of the number of hospital beds. Both the incidence rate and the recovery rate are considered as nonlinear functions of the number of infectious individuals, and the recovery rate incorporates the influence of the number of hospital beds. It is shown that backward bifurcation and saddle-node bifurcation may occur when the number of hospital beds is insufficient. In such cases, it is critical to prepare an appropriate amount of hospital beds because only reducing the basic reproduction number less than unity is not enough to eradicate the disease. When the basic reproduction number is larger than unity, the model may undergo forward bifurcation and Hopf bifurcation. The increasing hospital beds can decrease the infectious individuals. However, it is useless to eliminate the disease. Therefore, maintaining enough hospital beds is important for the prevention and control of the infectious disease. Numerical simulations are presented to illustrate and complement the theoretical analysis. |
| WOS关键词 | BEHAVIOR ; RESOURCES |
| 资助项目 | National Natural Science Foundation of China[11401569] ; National Natural Science Foundation of China[11671206] ; Western Scholars of the Chinese Academy of Sciences[2015-XBQN-B-20] ; Hong Kong Scholars Program[XJ2015051] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000406701500015 |
| 出版者 | MDPI AG |
| 资助机构 | National Natural Science Foundation of China ; Western Scholars of the Chinese Academy of Sciences ; Hong Kong Scholars Program |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/61380]  |
| 专题 | 中国科学院地理科学与资源研究所 |
| 通讯作者 | Hu, Zengyun |
| 作者单位 | 1.Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China 2.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Key Lab Water Cycle & Related Land Surface Proc, Beijing 100101, Peoples R China 3.Chinese Acad Sci, Xinjiang Inst Ecol & Geog, State Key Lab Desert & Oasis Ecol, Urumqi 830011, Peoples R China 4.Hong Kong Baptist Univ, Dept Geog, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, Qianqian,Qiu, Zhipeng,Liu, Wenbin,et al. Complex Dynamics of an SIR Epidemic Model with Nonlinear Saturate Incidence and Recovery Rate[J]. ENTROPY,2017,19(7):16. |
| APA | Cui, Qianqian,Qiu, Zhipeng,Liu, Wenbin,&Hu, Zengyun.(2017).Complex Dynamics of an SIR Epidemic Model with Nonlinear Saturate Incidence and Recovery Rate.ENTROPY,19(7),16. |
| MLA | Cui, Qianqian,et al."Complex Dynamics of an SIR Epidemic Model with Nonlinear Saturate Incidence and Recovery Rate".ENTROPY 19.7(2017):16. |
入库方式： OAI收割
来源：地理科学与资源研究所
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