Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing

Authors

  • Peter Rashkov Philipps-Universitaet Marburg

DOI:

https://doi.org/10.11145/j.biomath.2014.11.111

Keywords:

dynamical systems, reaction-diffusion equations, stationary solutions, weak solutions

Abstract

Solutions of a model reaction-diffusion system inspired by a model for hair follicle initiation in mice are constructed and analysed for the case of a one-dimensional domain. It is shown that all regular spatially heterogeneous solutions of the problem are unstable. Numerical tests show that the only asymptotically stable weak solutions are those with large jump discontinuities.

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Published

2014-12-05

Issue

Vol. 3 No. 2 (2014)

Section

Original Articles

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