Abstract Spreading speed of spatio-temporal nonlinear dynamical system can sometimes be determined either by its corresponding linear system with an explicit speed formula, or by the complicated nonlinear system itself with the existence of a pushed wavefront. In this paper, the spreading speed (the minimal speed of wavefronts) for a Lotka-Volterra competition model in spatially periodic habitats is investigated. We establish new results on the linear and nonlinear selections in terms of the spatio-periodic coefficient functions. In the case of nonlinear selection, lower and upper bound estimates of the minimal speed are provided.

中文翻译：

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Lotka-Volterra 竞争模型在周期性栖息地中的传播动态

摘要 时空非线性动力系统的传播速度有时可以由其相应线性系统的显式速度公式确定，也可以由复杂非线性系统本身存在推波前确定。在本文中，研究了 Lotka-Volterra 竞争模型在空间周期性栖息地中的传播速度（波前的最小速度）。我们根据空间周期系数函数建立了线性和非线性选择的新结果。在非线性选择的情况下，提供了最小速度的下限和上限估计。