SPREADING DYNAMICS FOR A PREDATOR-PREY SYSTEM WITH TWO PREDATORS AND ONE PREY IN A SHIFTING HABITAT

被引:6
作者
Guo, Jong-Shenq [1 ]
Shimojo, Masahiko [2 ]
Wu, Chin-Chin [3 ]
机构
[1] Tamkang Univ, New Taipei City, Taiwan
[2] Tokyo Metropolitan Univ, Hachioji, Japan
[3] Natl Chung Hsing Univ, Taichung, Taiwan
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 12期
关键词
Predator; prey; extinction; spreading; shifting habitat; REACTION-DIFFUSION EQUATIONS; FISHER-KPP EQUATION; CLIMATE-CHANGE; PROPAGATION DYNAMICS; POPULATION-DYNAMICS; NONLOCAL DISPERSAL; FORCED WAVES; PERSISTENCE; EXTINCTION; MODEL;
D O I
10.3934/dcdsb.2022170
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the spreading dynamics for a three-species predator-prey system with two weak competing predators and one prey in a shifting habitat. First, we derive some extinction results for each species. Then we provide some persistence theorems for each species with moving speeds exceed the shifting speed, but less than some certain quantities. Finally, the convergence to a certain constant state is proven in each persistent regime.
引用
收藏
页码:6126 / 6141
页数:16
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