Traveling Wave Solutions of Reaction-Diffusion Equations Arising in Atherosclerosis Models

In this short review article, two atherosclerosis models are presented, one as a scalar equation and the other one as a system of two equations. They are given in terms of reaction-diffusion equations in an infinite strip with nonlinear boundary conditions. The existence of traveling wave solutions...

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Bibliographic Details
Main Author: Narcisa Apreutesei
Format: Article
Language:English
Published: MDPI AG 2014-05-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/2/2/83
Description
Summary:In this short review article, two atherosclerosis models are presented, one as a scalar equation and the other one as a system of two equations. They are given in terms of reaction-diffusion equations in an infinite strip with nonlinear boundary conditions. The existence of traveling wave solutions is studied for these models. The monostable and bistable cases are introduced and analyzed.
ISSN:2227-7390