Asymptotic behaviors of forced waves for the lattice Lotka–Volterra competition system with shifting habitats

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This paper is concerned with the lattice Lotka–Volterra competition system under shifting habitats. By some delicate analyses, we establish the exactly exponential asymptotic decay of the forced wave with nonzero forced speed, the existence of which has been obtained by Wang et al. (2020). This gives a detailed description on the tail behaviors of the forced waves in a shifting environment.