Analysis of a Model Arising from Invasion by Precursor and Differentiated Cells

We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity...

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Bibliographic Details
Published in:International Journal of Differential Equations 2013-01, Vol.2013 (2013), p.63-69
Main Author: Hou, Xiaojie
Format: Article
Language:English
Subjects:
Asymptotic properties
Cell interaction
Cell research
Differential equations
Diffusion
Mathematical models
Mathematical research
Precursors
Uniqueness
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Summary:We study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity, uniqueness, and asymptotics of the waves.
ISSN:1687-9643
1687-9651
DOI:10.1155/2013/341473