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

Narcisa Apreutesei
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Narcisa Apreutesei: Department of Mathematics and Informatics, "Gheorghe Asachi" Technical University of Iasi, Iasi 700506, Romania

Mathematics, 2014, vol. 2, issue 2, 1-13

Abstract: 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.

Keywords: reaction-diffusion equations; nonlinear boundary conditions; traveling wave solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2014
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