Publication Date
7-2-2021
Document Type
Article
Publication Title
Nonlinear Analysis
Volume
212
DOI
10.1016/j.na.2021.112480
Abstract
In this paper, we consider two species chemotaxis systems with Lotka–Volterra competition reaction terms. Under appropriate conditions on the parameters in such a system, we establish the existence of traveling wave solutions of the system connecting two spatially homogeneous equilibrium solutions with wave speed greater than some critical number c∗. We also show the non-existence of such traveling waves with speed less than some critical number c∗0 , which is independent of the chemotaxis. Moreover, under suitable hypotheses on the coefficients of the reaction terms, we obtain explicit range for the chemotaxis sensitivity coefficients ensuring c∗ = c∗0 , which implies that the minimum wave speed exists and is not affected by the chemoattractant.
Keywords
Chemotaxis-models, Competition system, Traveling waves
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Mathematics and Statistics
Recommended Citation
T. B. Issa, R. B. Salako, and W. Shen. "Traveling wave solutions for two species competitive chemotaxis systems" Nonlinear Analysis (2021). https://doi.org/10.1016/j.na.2021.112480
Comments
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