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Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations

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Abstract

The effect of keeping all the parameters constant, except the diffusion coefficients, in a pair of reaction-diffusion equations is studied. It is shown that the stability of the constant solution and the bifurcation points can be easily established by constructing a simple stability diagram. The possible qualitatively different diagrams are enumerated.

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Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, Riccarton, Currie, EH14 4AS, Edinburgh, UK

    K. J. Brown & J. C. Eilbeck

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  1. K. J. Brown
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  2. J. C. Eilbeck
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Brown, K.J., Eilbeck, J.C. Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations. Bltn Mathcal Biology 44, 87–102 (1982). https://doi.org/10.1007/BF02459421

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  • DOI: https://doi.org/10.1007/BF02459421

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