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

作　　者：赵敏 袁荣 Min ZHAO;Rong YUAN(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)

机构地区：[1]School of Science,Tianjin Chengjian University,Tianjin,300384,China [2]Laboratory of Mathematics and Complex Systems(Ministry of Education),School of Mathematical Sciences,Beijing Normal University,Beijing,100875,China

出　　处：《Acta Mathematica Scientia》2024年第3期1096-1114,共19页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12171039,12271044)。

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 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.

关 键 词：predator-prey system PERSISTENCE nonlocal dispersal shifting environment 

分 类 号：Q141[生物学—生态学] O175[生物学—普通生物学]