Article ID Journal Published Year Pages File Type
5774088 Journal of Differential Equations 2017 21 Pages PDF
Abstract
In this paper, we study a class of nonlinear reaction-hyperbolic systems modeling the neuronal signal transfer in neuroscience. This reaction-hyperbolic system can be regarded as n×n (n≥2) hyperbolic system with relaxation. We first prove the existence of traveling wave by Gershgorin circle theorem and mathematically describe the neuronal signal transport. Then for a special case n=2, we show the traveling wave is nonlinearly stable, and obtain the convergence rate simultaneously by a weighted estimate.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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