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DOI | 10.1007/s10473-024-0318-5 |
The persistence of solutions in a nonlocal predator-prey system with a shifting habitat | |
Zhao, Min; Yuan, Rong | |
发表日期 | 2024 |
ISSN | 0252-9602 |
EISSN | 1572-9087 |
起始页码 | 44 |
结束页码 | 3 |
卷号 | 44期号:3 |
英文摘要 | In this paper, we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment. It is known that Choi et al. [J Differ Equ, 2021, 302: 807-853] studied the persistence or extinction of the prey and of the predator separately in various moving frames. In particular, they achieved a complete picture in the local diffusion case. However, the question of the persistence of the prey and of the predator in some intermediate moving frames in the nonlocal diffusion case was left open in Choi et al.'s paper. By using some a prior estimates, the Arzela-Ascoli theorem and a diagonal extraction process, we can extend and improve the main results of Choi et al. to achieve a complete picture in the nonlocal diffusion case. |
英文关键词 | predator-prey system; persistence; nonlocal dispersal; shifting environment |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:001163620000015 |
来源期刊 | ACTA MATHEMATICA SCIENTIA |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/291714 |
作者单位 | Tianjin Chengjian University; Beijing Normal University |
推荐引用方式 GB/T 7714 | Zhao, Min,Yuan, Rong. The persistence of solutions in a nonlocal predator-prey system with a shifting habitat[J],2024,44(3). |
APA | Zhao, Min,&Yuan, Rong.(2024).The persistence of solutions in a nonlocal predator-prey system with a shifting habitat.ACTA MATHEMATICA SCIENTIA,44(3). |
MLA | Zhao, Min,et al."The persistence of solutions in a nonlocal predator-prey system with a shifting habitat".ACTA MATHEMATICA SCIENTIA 44.3(2024). |
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