Traveling bands for the Keller-Segel model with population growth

This paper is concerned with the existence of the traveling bands to the Keller-Segel model with cell population growth in the form of a chemical uptake kinetics. We find that when the cell growth is considered, the profile of traveling bands, the minimum wave speed and the range of the chemical con...

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Bibliographic Details
Main Authors: Shangbing Ai, Zhian Wang
Format: Article
Language:English
Published: AIMS Press 2015-03-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.717