Propagation Direction of the Traveling Wave for the Lotka-Volterra Competitive Lattice System

摘要

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.