Existence, uniqueness, stability and asymptotic behavior of solutions for a mathematical model of atherosclerosis

DOI10.3934/dcdss.2016.9.343zbMath1334.35137OpenAlexW2523966250MaRDI QIDQ258732

Telma Silva, Jorge Tiago, Adélia Sequeira, Rafael F. Santos

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016.9.343

zbMATH Keywords

stabilityupper and lower solutionsreaction-diffusion equationsasymptotic behavior of solutionsatherosclerosisquasimonotone property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Fundamental solutions to PDEs (35A08) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (3)

Mathematical Analysis and Numerical Simulations for a Model of Atherosclerosis ⋮ Study of non-Newtonian fluid by K-L model through a non-symmetrical stenosed narrow artery ⋮ A multiphase model of growth factor-regulated atherosclerotic cap formation

Cites Work

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• Reaction-diffusion model of atherosclerosis development
• Global solutions of reaction-diffusion systems
• Geometric theory of semilinear parabolic equations
• Atherosclerosis Initiation Modeled as an Inflammatory Process
• Mathematical and numerical modeling of early atherosclerotic lesions
• Mathematical modelling of atherosclerosis as an inflammatory disease
• Mathematical modelling of the atherosclerotic plaque formation
• Quasisolutions and global attractor of reaction-diffusion systems

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