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DOI10.1007/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
ISSN0252-9602
EISSN1572-9087
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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