OICC Press Communications in Nonlinear Analysis 2371-7920 3 1 2025 11 09 Global existence of solutions for an m­-component reaction-diffusion system with a tridiagonal ­2-Toeplitz diffusion matrix and polynomially growing reaction terms EN Salem Abdelmalek Department of mathematics, University of Tebessa 12002 Algeria. 0000-0001-9762-9654 Samir Bendoukha Electrical Engineering Department, College of Engineering at Yanbu, Taibah University, Saudi Arabia. Journal Article 2025 11 09 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 andconrm the findings of the study.