Traveling wavefronts in a two-species chemotaxis model with Lotka–Volterra competitive kinetics

This paper is devoted to the study of traveling wavefronts for a class of two-species chemotaxis models with Lotka–Volterra competitive kinetics. The existence of traveling wavefronts of large wave speed is established by the perturbation method. Some numerical simulations are presented to illustrat...

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Bibliographic Details
Published in:Applied mathematics letters 2021-04, Vol.114, p.106905, Article 106905
Main Authors: Li, Dong, He, Xiaolong, Li, Xinping, Guo, Shangjiang
Format: Article
Language:English
Subjects:
Chemotaxis
Perturbation method
Traveling wavefront
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Summary:This paper is devoted to the study of traveling wavefronts for a class of two-species chemotaxis models with Lotka–Volterra competitive kinetics. The existence of traveling wavefronts of large wave speed is established by the perturbation method. Some numerical simulations are presented to illustrate our main results.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106905