In this paper, the speed sign of the traveling wave to the bistable Lotka–Volterra competitive lattice system is investigated via the upper–lower solution method as well as the comparison principle. We provide an interval estimation for the bistable speed firstly. Two comparison principles are further established to obtain new conditions to the determinacy of the sign of the bistable speed. To our knowledge, this is the first investigation to the lattice system for the propagation direction.

中文翻译：

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Lotka–Volterra竞争格系统的行波传播方向

本文通过上下求解方法以及比较原理，研究了双稳态Lotka-Volterra竞争晶格系统行波的速度符号。我们首先提供双稳态速度的区间估计。进一步建立了两个比较原理，以获得确定双稳态速度符号的新条件。据我们所知，这是对晶格系统传播方向的首次研究。