Validating Numerical to Theoretical Solutions in a \Reaction-Diffusion with Linear Cross-Diffusion Systems.

dc.contributor.authorNdakwo, Husseini S.
dc.contributor.authorUmar, Mallam Abdulkarim
dc.contributor.authorBello, Sulayman M.
dc.date.accessioned2023-12-14T07:29:50Z
dc.date.available2023-12-14T07:29:50Z
dc.date.issued2020-07-20
dc.description.abstractIn tliis paper, we consider a reaction diffusion system with linear cross-diffusion. We carry‘out the analytical study in detail and find out that, when the diffusion coefficient is unity, Turing instability does not occur, but with the introduction of cross-diffusion, the system exhibit Turing instability. The numerical results reveal that, on increasing the value of, there is an occurrence of spatial patterns which conforms with the theoretical results. The cross-diffusion coefficients really play a vitaj role on the parameter spaces and spatial patterns of our system,en_US
dc.identifier.citationUmar, M.A. et al. (2020). Validating Numerical to Theoretical Solutions in a i Reaction-Diffusion with Linear Cross-Diffusion Systems.en_US
dc.identifier.urihttps://keffi.nsuk.edu.ng/handle/20.500.14448/5757
dc.language.isoenen_US
dc.publisherDepartment of Mathematics, Nasarawa State University Keffien_US
dc.subjectCross-diffusion driven instability, parameter space, spatial patterns, pattern formation, validation, numerical simulation, Turing theory, Finite difference method..en_US
dc.titleValidating Numerical to Theoretical Solutions in a \Reaction-Diffusion with Linear Cross-Diffusion Systems.en_US
dc.typeArticleen_US

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