Traveling Wave Solutions in a Chemotaxis Model with Two Chemoattractants

Year:    2024

Author:    Fanfan Li, Zhenlai Han

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 152–160

Abstract

In this work, we investigate the existence and non-existence of traveling wave solutions for a chemotaxis model with two chemoattractants. To prove our main results, we apply the dynamical systems theory by constructing a positively invariant set in the four-dimensional space. Particularly, we analyze the monotonicity of traveling wave solutions.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.152

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 152–160

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Chemotaxis model traveling wave solutions dynamical systems theory.

Author Details

Fanfan Li

Zhenlai Han