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

Mathematics

关键词: reaction-diffusion equations;    nonlinear boundary conditions;    traveling wave solutions;   

DOI  :  10.3390/math2020083

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2014 by the author; licensee MDPI, Basel, Switzerland.