Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
Yanli He, Kun Li (2021)
Applications of Mathematics
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In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system.