TRAVELING WAVE SOLUTIONS FOR THREE-SPECIES NONLOCAL COMPETITIVE-COOPERATIVE SYSTEMS

被引：0
|
作者：
Wu, Hong-jie [1 ]
Han, Bang-sheng [1 ]
Mi, Shao-yue [1 ]
Shen, Liang-bin [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 2023卷 / 55期
关键词：
Three-species system; competitive-cooperative; nonlocal effect; traveling wave solution; critical speed; REACTION-DIFFUSION-SYSTEMS; LOTKA-VOLTERRA SYSTEM; FRONTS; EXISTENCE; MODEL; STABILITY; PROPAGATION;
D O I：
10.58997/ejde.2023.55
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using a two-point boundary-value problem and a Schauder's fixed point theorem, we obtain traveling wave solutions connecting (0,0, 0) to an unknown positive steady state for speed c & GE; c* = max{2, 2 & RADIC;d2r2, 2 & RADIC;d3r3}. Then we present some asymptotic behaviors of traveling wave solutions. In particular we show that the nonlocal effects have a great influence on the final state of traveling wave solutions at -& INFIN;.
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页数：15
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