Geodesic
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
Applications of Mathematics, Tome 66 (2021) no. 4, pp. 641-656.

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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.
DOI : 10.21136/AM.2021.0159-19
Classification : 34K10, 37L60, 39A10
Keywords: higher dimensional lattice; traveling wave solution; delay; upper and lower solutions 
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He, Yanli; Li, Kun. Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications. Applications of Mathematics, Tome 66 (2021) no. 4, pp. 641-656. doi : 10.21136/AM.2021.0159-19. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0159-19/

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