Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A STUDY ON INVARIANT REGIONS, EXISTENCE AND UNIQUENESS OF THE GLOBAL SOLUTION FOR TRIDIAGONAL REACTION-DIFFUSION SYSTEMS

  • IQBAL M. BATIHA (Department of Mathematics, Al Zaytoonah University of Jordan, Nonlinear Dynamics Research Center (NDRC), Ajman University) ;
  • NABILA BARROUK (Department of Mathematics and Informatics, Mohamed Cherif Messaadia University) ;
  • ADEL OUANNAS (Department of Mathematics and Computer Science, University of Larbi Ben M'hidi) ;
  • ABDULKARIM FARAH (Department of Mathematics, Isra University)
  • Received : 2023.02.19
  • Accepted : 2023.04.14
  • Published : 2023.07.30
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Abstract

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.

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References

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