Publication Date

7-2-2021

Document Type

Article

Department

Mathematics and Statistics

Disciplines

Biomechanics and Biotransport | Non-linear Dynamics

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

Comments

This is the Version of Record and can also be read online here.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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