Global Stability of Traveling Waves for the Lotka-Volterra Competition System with Three Species

被引：1
作者：
Hu, Shulin [1 ]
Pan, Chaohong [1 ]
Wang, Lin [2 ]
机构：
[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China
[2] Hunan Inst Traff Engn, Basic Dept, Hengyang 421001, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 09期
关键词：
asymptotic behavior; Lotka-Volterra model; three species; global stability; weighted functional space; DIFFUSION MODEL; MINIMAL-SPEED; EXISTENCE; BEHAVIOR; FRONTS;
D O I：
10.3390/math11092189
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of traveling waves for the Lotka-Volterra competition system with three species is investigated in this paper. Specifically, we first show the asymptotic behavior of traveling wave solutions and then establish the local stability and the global stability under the weighted functional space. For local stability, the spectrum approach is used, while for global stability, the comparison principle and squeezing theorem are combined.
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页数：14
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