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Non-Linear Bifurcation Analysis of Reaction-Diffusion Activator-Inhibator System

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Abstract

The paper first deals with the linear stability analysis of an activator-inhibitor reaction diffusion system to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern formation arising out of the bifurcation of the state of the system.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta –, 700009, India

    Sandip Banerjee & C.G. Chakrabarti

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  1. Sandip Banerjee
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  2. C.G. Chakrabarti
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Banerjee, S., Chakrabarti, C. Non-Linear Bifurcation Analysis of Reaction-Diffusion Activator-Inhibator System. Journal of Biological Physics 25, 23–33 (1999). https://doi.org/10.1023/A:1005167224049

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