@ARTICLE{10.21494/ISTE.OP.2020.0579, 

TITLE={Invariant regions and existence of global solutions to a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix}, 
  
AUTHOR={Karima Abdelmalek, Belgacem Rebiai, Salem Abdelmalek, }, 
	
JOURNAL={Advances in Pure and Applied Mathematics}, 
	
VOLUME={12}, 

NUMBER={Issue 1 (January 2021)}, 
	
YEAR={2021}, 

URL={https://openscience.fr/Invariant-regions-and-existence-of-global-solutions-to-a-generalized-m}, 
	
DOI={10.21494/ISTE.OP.2020.0579}, 
	
ISSN={1869-6090}, 
	
ABSTRACT={The aim of this paper is to construct invariant regions of a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix and nonhomogeneous boundary conditions and polynomial growth for the nonlinear reaction terms. Using the eigenvalues and eigenvectors of the diffusion matrix and the parabolicity conditions. So we prove the global existence of solutions using Lyapunov functional.}}