Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals
文献类型：期刊论文
| 作者 | Xu, Wen-Bing1,2; Li, Wan-Tong2; Ruan, Shigui3 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2020-09-11 |
| 页码 | 30 |
| 关键词 | nonlocal dispersal epidemic model spreading speed initial data dispersal kernel |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-020-1740-1 |
| 英文摘要 | This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here, initial data stand for the spatial concentrations of the infectious agent and the infectious human population when the epidemic breaks out and the nonlocal dispersals mean their diffusion strategies. Two types of initial data decaying to zero exponentially or faster are considered. For the first type, we show that spreading speeds are two constants whose signs change with the number of elements in some set. Moreover, we find an interesting phenomenon: the asymmetry of nonlocal dispersals can influence the propagating directions of the solutions and the stability of steady states. For the second type, we show that the spreading speed is decreasing with respect to the exponentially decaying rate of initial data, and further, its minimum value coincides with the spreading speed for the first type. In addition, we give some results about the nonexistence of traveling wave solutions and the monotone property of the solutions. Finally, some applications are presented to illustrate the theoretical results. |
| 资助项目 | China Postdoctoral Science Foundation[2019M660047] ; National Natural Science Foundation of China[11731005] ; National Natural Science Foundation of China[11671180] ; National Science Foundation of USA[DMS-1853622] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000568498900001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52163]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Wan-Tong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 3.Univ Miami, Dept Math, Coral Gables, FL 33146 USA |
| 推荐引用方式 GB/T 7714 | Xu, Wen-Bing,Li, Wan-Tong,Ruan, Shigui. Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals[J]. SCIENCE CHINA-MATHEMATICS,2020:30. |
| APA | Xu, Wen-Bing,Li, Wan-Tong,&Ruan, Shigui.(2020).Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals.SCIENCE CHINA-MATHEMATICS,30. |
| MLA | Xu, Wen-Bing,et al."Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals".SCIENCE CHINA-MATHEMATICS (2020):30. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。