Hong-Jie Wu, Bang-Sheng Han, Shao-Yue Mi, Liang-Bin Shen
Abstract:
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
\(c\geq c^{\ast}=\max\{2,2\sqrt{d_2r_2},2\sqrt{d_3r_3}\}\).
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 \(-\infty\).
Submitted April 6, 2023. Published September 4, 2023.
Math Subject Classifications: 35A01, 35C07, 35K55, 35K57.
Key Words: Three-species system; competitive-cooperative; nonlocal effect; traveling wave solution; critical speed.
DOI: 10.58997/ejde.2023.55
Show me the PDF file (367 KB), TEX file for this article.
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Hong-Jie Wu School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 611756, China email: m17882275716@163.com |
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Bang-Sheng Han School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 611756, China email: hanbangsheng@swjtu.edu.cn |
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Shao-Yue Mi School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 611756, China email: mishaoyue@my.swjtu.edu.cn |
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Liang-Bin Shen School of Mathematics Southwest Jiaotong University Chengdu, Sichuan 611756, Chin a email: m18871027873@163.com |
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