In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robust...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 31 March 2021Accepted: 07 September 2021Published online: 02 December 2021Keywordsreaction-diffusion-advection systems, nonsmooth diffusion coefficients, mass control, global existence, $L^p$-energy methodsAMS Subject Headings35A01, 35K57, 35K58, 35Q92Publication DataISSN...

For a stable matrix A with real entries, sufficient and necessary conditions for A D to be stable for all non-negative diagonal matrices D are obtained. Implications of these conditions for the stability and instability of constant steadystate solutions to reaction diffusion systems are discussed and an example is given to show applications. 2001 Academic Press

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