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Traveling fronts of the volume-filling chemotaxis model with general kinetics |
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| Authors: | Manjun Ma Daoming Yang |
| Affiliation: | a College of Science, China Jiliang University, Hangzhou, Zhejiang 310018, PR China b School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, PR China |
| Abstract: | This paper is devoted to the study of traveling fronts for the volume-filling chemotaxis model with general kinetics by applying the perturbation method. The proof relies on the Fredholm theory and the Banach contractive mapping principle. The obtained results can easily detect the existence of traveling fronts for some models investigated in the known references. |
| Keywords: | Volume-filling chemotaxis models General forms of kinetics Existence of traveling fronts Perturbation method Fredholm theory Banach fixed-point principle |
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