Traveling fronts of the volume-filling chemotaxis model with general kinetics
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摘要
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.
论文关键词：Volume-filling chemotaxis models,General forms of kinetics,Existence of traveling fronts,Perturbation method,Fredholm theory,Banach fixed-point principle
论文评审过程：Available online 30 April 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.04.034
