J. Nonl. Mod. Anal., 6 (2024), pp. 152-160.
Published online: 2024-03
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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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.152}, url = {http://global-sci.org/intro/article_detail/jnma/22972.html} }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.