首页|THE PERSISTENCE OF SOLUTIONS IN A NONLOCAL PREDATOR-PREY SYSTEM WITH A SHIFTING HABITAT

THE PERSISTENCE OF SOLUTIONS IN A NONLOCAL PREDATOR-PREY SYSTEM WITH A SHIFTING HABITAT

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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 Arzelà-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.

predator-prey systempersistencenonlocal dispersalshifting environment

赵敏、袁荣

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School of Science,Tianjin Chengjian University,Tianjin 300384,China

Laboratory of Mathematics and Complex Systems (Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of China

1217103912271044

2024

数学物理学报(英文版)
中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD
影响因子:0.256
ISSN:0252-9602
年,卷(期):2024.44(3)