圆柱体中一般 N 维扩散延迟洛特卡-伏特拉方程的稳定性和共存状态行波解

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-03-29 DOI:10.1093/imamci/dnae012

Yanling Tian, Shuyuan Shen, Jinji Yang

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引用次数: 0

摘要

本文考虑了一个一般的 $N$ 维非单调延迟扩散 Lotka-Volterra 模型。首先，我们利用延迟系统的小延迟结果，得到了该模型在 Neumann 边界条件下的全局稳定性。其次，通过这种全局稳定性，证实了有界行波解在 $+\infty $ 处的极限。因此，确定了共存状态行波解的存在。最后，举例说明了本文假设的生物学意义。

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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Stability and co-existence state traveling wave solution for a general N-dimensional diffusive delayed Lotka-Volterra equation in a cylinder

A general $N$-dimensional non-monotone delayed diffusive Lotka–Volterra model is considered in our paper. First, we obtain the global stability of the model subject to Neumann boundary condition by using a small delay result for delayed systems. Second, the limits at $+\infty $ of bounded travelling wave solutions are confirmed by virtue of such global stability. Therefore, the existence of co-existence state travelling wave solutions is established. Finally, an example is given to illustrate the biological significance of the assumptions in the current paper.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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