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Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Barrouk Nabila, Abdelmalek Karima

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20230122

The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order m. Our techniques of proof are based on compact semigroup methods and some L1-estimates. We show that global solutions exist. Our investigation can be applied for a wide class of nonlinear terms of reaction.