三种非局部竞争-合作系统的行波解

Pub Date : 2023-09-04 DOI:10.58997/ejde.2023.55

Hong-Jie Wu, Bang-Sheng Han, Shao-yue Mi, Liang-Bin Shen

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引用次数: 0

摘要

利用两点边值问题和Schauder不动点定理，我们得到了连接\((0,0,0)\)到速度\(c\geq c^{\ast}=\max\{2,2\sqrt{d_2r_2},2\sqrt{d_3r_3}\}\)的未知正稳态的行波解。然后给出了行波解的一些渐近性质。特别地，我们证明了非局部效应对行波解在\(-\infty\)处的最终状态有很大的影响。欲了解更多信息，请参阅https://ejde.math.txstate.edu/Volumes/2023/55/abstr.html

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Traveling wave solutions for three-species nonlocal competitive-cooperative systems

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 \(-\infty\). For more information see https://ejde.math.txstate.edu/Volumes/2023/55/abstr.html

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