Global Theoretical Investigation of Diffusion Driven Instability for Three Coupled Equations of a Reaction Diffusion System

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dc.contributor.authorAbd Rraouf, Abid
dc.date.accessioned2026-09-29T11:59:49Z
dc.date.available2026-09-29T11:59:49Z
dc.date.issued2026
dc.description.abstractAbstract: 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.
dc.identifier.urihttp://dspace.univ-khenchela.dz:4000/handle/123456789/11559
dc.language.isoen
dc.titleGlobal Theoretical Investigation of Diffusion Driven Instability for Three Coupled Equations of a Reaction Diffusion System
dc.typeArticle
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