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| Propagation dynamics of a reaction-diffusion two-group SIR epidemic model with constant recruitment | |
Zhao, Lin1 ; Han, Bang-Sheng2
| |
| 2023-07-20 | |
| 在线发表时间 | 2023-07 |
| 发表期刊 | INTERNATIONAL JOURNAL OF BIOMATHEMATICS
 |
| ISSN | 1793-5245 ; 1793-7159 |
| 摘要 | In this paper, we focus on asymptotic speeds of spread for a reaction-diffusion two-group SIR epidemic model with constant recruitment, which lacks the comparison principle. More precisely, if R-0 < 1, then the solution of the system converges to the disease-free equilibrium as t -> 8 and if R-0 > 1, there exists a critical speed c* such that the solution of the system is uniformly persistent with |x| <= ct, for all c is an element of[0, c*) and the infection dies out with |x| >= ct for any c > c*. Finally, some numerical experiments are presented to modeling the propagation dynamics of the system. |
| 关键词 | A reaction-diffusion system two-group SIR epidemic model constant recruitment asymptotic speeds of spread |
| DOI | 10.1142/S1793524523500535 |
| 收录类别 | SCIE |
| 语种 | 英语 |
| WOS研究方向 | Mathematical & Computational Biology |
| WOS类目 | Mathematical & Computational Biology |
| WOS记录号 | WOS:001032373600001 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 原始文献类型 | Article;Early Access |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/166138 |
| 专题 | 理学院 |
| 通讯作者 | Zhao, Lin |
| 作者单位 | 1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 2.Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China |
| 第一作者单位 | 材料科学与工程学院 |
| 通讯作者单位 | 材料科学与工程学院 |
| 第一作者的第一单位 | 材料科学与工程学院 |
| 推荐引用方式 GB/T 7714 | Zhao, Lin,Han, Bang-Sheng. Propagation dynamics of a reaction-diffusion two-group SIR epidemic model with constant recruitment[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2023. |
| APA | Zhao, Lin,&Han, Bang-Sheng.(2023).Propagation dynamics of a reaction-diffusion two-group SIR epidemic model with constant recruitment.INTERNATIONAL JOURNAL OF BIOMATHEMATICS. |
| MLA | Zhao, Lin,et al."Propagation dynamics of a reaction-diffusion two-group SIR epidemic model with constant recruitment".INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2023). |
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