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Title: Traveling bands for the Keller-Segel model with population growth
Authors: Ai, S
Wang, Z 
Keywords: Cell kinetics
Keller-Segel model
Minimal wave speed
Traveling waves
Issue Date: 2015
Publisher: Arizona State University
Source: Mathematical biosciences and engineering, 2015, v. 12, no. 4, p. 717-737 How to cite?
Journal: Mathematical Biosciences and Engineering 
Abstract: 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 consumption rate for the existence of traveling wave solutions will change. Our results reveal that collective interaction of cell growth and chemical consumption rate plays an essential role in the generation of traveling bands. The research in the paper provides new insights into the mechanisms underlying the chemotactic pattern formation of wave bands.
ISSN: 1547-1063
DOI: 10.3934/mbe.2015.12.717
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