Spatial propagation in nonlocal dispersal Fisher-KPP equations
文献类型：期刊论文
| 作者 | Xu, Wen-Bing1,2; Li, Wan-Tong1; Ruan, Shigui3 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2021-05-15 |
| 卷号 | 280期号:10页码:35 |
| 关键词 | Nonlocal dispersal Fisher-KPP equation Spatial propagation Spreading speed Asymmetric kernel |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2021.108957 |
| 英文摘要 | In this paper we focus on three problems about the spreading speeds of nonlocal dispersal Fisher-KPP equations. First, we study the signs of spreading speeds and find that they are determined by the asymmetry level of the nonlocal dispersal and f'(0), where f is the reaction function. This indicates that asymmetric dispersal can influence the spatial dynamics in three aspects: it can determine the spatial propagation directions of solutions, influence the stability of equilibrium states, and affect the monotone property of solutions. Second, we give an improved proof of the spreading speed result by constructing new lower solutions and using the new "forward-backward spreading" method. Third, we investigate the relationship between spreading speed and exponentially decaying initial data. Our result demonstrates that when dispersal is symmetric, spreading speed decreases along with the increase of the exponential decay rate. In addition, the results on the signs of spreading speeds are applied to two special cases where we present more details on the influence of asymmetric dispersal. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | China Postdoctoral Science Foundation[2019M660047] ; NSF of China[11731005] ; National Science Foundation[DMS-1853622] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000629298100001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58327]  |
| 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.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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 nonlocal dispersal Fisher-KPP equations[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,280(10):35. |
| APA | Xu, Wen-Bing,Li, Wan-Tong,&Ruan, Shigui.(2021).Spatial propagation in nonlocal dispersal Fisher-KPP equations.JOURNAL OF FUNCTIONAL ANALYSIS,280(10),35. |
| MLA | Xu, Wen-Bing,et al."Spatial propagation in nonlocal dispersal Fisher-KPP equations".JOURNAL OF FUNCTIONAL ANALYSIS 280.10(2021):35. |
入库方式： OAI收割
来源：数学与系统科学研究院
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