Browsing by Author "Abd Rraouf, Abid"

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    Global Theoretical Investigation of Diffusion Driven Instability for Three Coupled Equations of a Reaction Diffusion System
    (2026) Abd Rraouf, Abid
    Abstract: In this paper, we investigate the mechanism called DDI ( Diffusion Driven Instability) for a full three dimensional matrix of diffusion coefficients. We apply a linear approach in the neighborhood of an arbitrary equilibrium point using the Routh-Hurwitz stability criterion and we study the existence of at least one eigenvalue with positive real part of the matrix A(k). Our main result is the proof of sufficient and necessary condition for the Turing instability. The research is extended to a reaction-diffusion system for three species.