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Traveling Wave Solutions in a Chemotaxis Model with Two Chemoattractants
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KeyWord:Chemotaxis model, traveling wave solutions, dynamical systems theory
Author NameAffiliation
Fanfan Li School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, China 
Zhenlai Han School of Mathematical Sciences, University of Jinan, Jinan, Shandong, China 
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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.