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IQBAL M. BATIHA,NABILA BARROUK,ADEL OUANNAS,ABDULKARIM FARAH The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.