@article { author = {Abdelmalek, Salem and Gouadria, Abdelouahab and Bendoukha, Samir}, title = {Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors}, journal = {Communications in Nonlinear Analysis}, volume = {7}, number = {1}, pages = {58-72}, year = {2019}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {This paper deals with a Gierer-Meinhardt model with 2 activators and 2 inhibitors described by a reaction-diffusion system with fractional reactions. The purpose of this paper is to prove the existence of a global solution. Our technique is based on a suitable Lyapunov functional.}, keywords = {Reaction--diffusion system,Gierer-Meinhardt,Global existence of solutions,Lyapunov functional}, url = {https://www.cna-journal.com/article_95603.html}, eprint = {https://www.cna-journal.com/article_95603_a35cbd670f2da34775bd7022f8128329.pdf} }