Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications

Yanli He; Kun Li

Applications of Mathematics (2021)

  • Volume: 66, Issue: 4, page 641-656
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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He, Yanli, and Li, Kun. "Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications." Applications of Mathematics 66.4 (2021): 641-656. <http://eudml.org/doc/298167>.

@article{He2021,
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.},
author = {He, Yanli, Li, Kun},
journal = {Applications of Mathematics},
keywords = {higher dimensional lattice; traveling wave solution; delay; upper and lower solutions},
language = {eng},
number = {4},
pages = {641-656},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications},
url = {http://eudml.org/doc/298167},
volume = {66},
year = {2021},
}

TY - JOUR
AU - He, Yanli
AU - Li, Kun
TI - Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
JO - Applications of Mathematics
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 4
SP - 641
EP - 656
AB - 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.
LA - eng
KW - higher dimensional lattice; traveling wave solution; delay; upper and lower solutions
UR - http://eudml.org/doc/298167
ER -

References

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