Propagation dynamics of the lattice Leslie-Gower predator-prey system in shifting habitats

被引：0
|
作者：
Yang, Fei-Ying [1 ]
Zhao, Qian [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 544卷 / 02期
关键词：
system; Shifting habitat; Spreading properties; Forced waves; COMPETITION-DIFFUSION MODEL; FISHER-KPP EQUATION; TRAVELING-WAVES; CLIMATE-CHANGE; FORCED WAVES; PERSISTENCE; EXISTENCE; STABILITY; SPREAD;
D O I：
10.1016/j.jmaa.2024.129075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the propagation dynamics of a discrete diffusive Leslie-Gower predator-prey system in shifting habitats. First, we discuss the spreading properties of the corresponding Cauchy problem depending on the range of the shifting speed which is identified respectively by (i) extinction of two species; (ii) only one species surviving; (iii) persistence of two species. Then, we give the existence of two types of forced waves, that is, I type forced waves invading the state where only one species exists in supercritical case and critical case, and II type forced waves invading coexistence state for any speed. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data
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页数：46
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