Applications of Mathematics, Vol. 66, No. 4, pp. 641-656, 2021
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
Yanli He, Kun Li
Received June 19, 2019. Published online May 19, 2021.
Abstract: 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.
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Affiliations: Yanli He, Kun Li (corresponding author), School of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, P. R. China, e-mail: m15084970596_1@163.com, kli@mail.bnu.edu.cn
