Ndakwo, Husseini S.Umar, Mallam AbdulkarimBello, Sulayman M.2023-12-142023-12-142020-07-20Umar, M.A. et al. (2020). Validating Numerical to Theoretical Solutions in a i Reaction-Diffusion with Linear Cross-Diffusion Systems.https://keffi.nsuk.edu.ng/handle/20.500.14448/5757In 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,enCross-diffusion driven instability, parameter space, spatial patterns, pattern formation, validation, numerical simulation, Turing theory, Finite difference method..Article