具有平流和非线性边界条件的 Lotka-Volterra 竞争-扩散系统的全局动力学

Zeitschrift für angewandte Mathematik und Physik Pub Date : 2024-05-07 DOI:10.1007/s00033-024-02249-0

Chenyuan Tian, Shangjiang Guo

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摘要

本文讨论了具有非线性边界条件的 Lotka-Volterra 竞争-扩散-对流系统的全局动力学，包括共存稳态的存在、不存在和全局稳定性。我们首先研究线性化系统的主特征值，从而得到稳态的局部稳定性，然后从竞争系数的角度讨论全局动力学。

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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Global dynamics of a Lotka-Volterra competition-diffusion system with advection and nonlinear boundary conditions

In this paper, we deal with the global dynamics of a Lotka-Volterra competition-diffusion-advection system with nonlinear boundary conditions, including the existence, nonexistence and global stability of coexistence steady states. We start with the investigation of the principal eigenvalue of linearized system to get the local stability of steady states and then discuss the global dynamics in terms of competition coefficients.

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Zeitschrift für angewandte Mathematik und Physik

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