三种非局部竞争-合作系统的行波解

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations 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

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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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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.