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Stability and asymptotic behaviour in a reaction–diffusion system

✍ Scribed by Wei Feng

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
663 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is concerned with some qualitative analysis for a coupled system of five reaction–diffusion equations which arises from a physiology model. The uniform boundedness of the time‐dependent solution is obtained under various boundary conditions. Sufficient conditions are also given to ensure the asymptotic stability of the non‐negative steady‐state solutions under Dirichlet or Robin boundary condition for each component. Under homogeneous Neumann boundary condition for some components the time‐dependent solution is proven to converge to a constant steady state determined by the initial functions.

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