%0 Journal Article %T Global existence of solutions for an m­-component reaction-diffusion system with a tridiagonal ­2-Toeplitz diffusion matrix and polynomially growing reaction terms %J Communications in Nonlinear Analysis %I Research & Science Group Ltd. %Z 2371-7920 %A Abdelmalek, Salem %A Bendoukha, Samir %D 2017 %\ 11/01/2017 %V 3 %N 1 %P 1-14 %! Global existence of solutions for an m­-component reaction-diffusion system with a tridiagonal ­2-Toeplitz diffusion matrix and polynomially growing reaction terms %K Reaction-diffusion systems %K invariant regions %K diagonalization %K global existence %K Lyapunov functional %R %X This paper is concerned with the local and global existence of solutions for a generalized m-componenta reaction-diffusion system with a tridiagonal 2-Toeplitz diffusion matrix and polynomial growth. We derivethe eigenvalues and eigenvectors and determine the parabolicity conditions in order to diagonalize theproposed system. We, then, determine the invariant regions and utilize a Lyapunov functional to establishthe global existence of solutions for the proposed system. A numerical example is used to illustrate andcon rm the findings of the study. %U https://www.cna-journal.com/article_89518_1b7526e07a8e04529e0d1c831bbb8163.pdf