Abstract This paper focuses on selection mechanisms of the minimal speed of traveling waves to the Lotka-Volterra reaction-diffusion model. We first establish general conditions for the linear and nonlinear selection by way of an upper and lower solution method. Then some explicit criteria are derived by subtly constructing formulas of upper and lower solutions. The obtained conditions substantially improve or complement the corresponding results in the known references.

中文翻译：

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Lotka-Volterra 竞赛模型的最小波速

摘要 本文重点研究了 Lotka-Volterra 反应扩散模型的最小行波速度选择机制。我们首先通过上下解法建立线性和非线性选择的一般条件。然后通过巧妙地构造上下解的公式，推导出一些明确的标准。获得的条件大大改善或补充了已知参考文献中的相应结果。