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Concentration-dependent diffusion coefficient and dissipative structures

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Abstract

A theoretical study of the Brusselator model with non-uniform distribution of component A and a concentration-dependent diffusion coefficient has been performed. Numerical simulation reveals that a variable diffusion coefficient alters the bifurcation pattern and the stability properties of the steady-state as well as periodic solutions. A simple approximate method, based on one-point collocation, has been proposed to analyze the bifurcation phenomena for the case of fixed boundary conditions and low system size.

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Authors and Affiliations

  1. Department of Chemical Engineering, State University of New York at Buffalo, Clifford C. Furnas Hall, 14260, Buffalo, NY, USA

    P. Nandapurkar & V. Hlavacek

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  1. P. Nandapurkar
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  2. V. Hlavacek
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Nandapurkar, P., Hlavacek, V. Concentration-dependent diffusion coefficient and dissipative structures. Bltn Mathcal Biology 46, 269–282 (1984). https://doi.org/10.1007/BF02460074

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  • DOI: https://doi.org/10.1007/BF02460074

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