Global Attractor for a Reaction-Diffusion Model Arising in Biological
  Dynamic in 3D Soil Structure
Mohamed Elghandouri Khalil Ezzinbi Mouad Klai Olivier Monga
Partial Differential Equations (PDEs) play a crucial role as tools for
modeling and comprehending intricate natural processes, notably within the
domain of biology. This research explores the domain of microbial activity
within the complex matrix of 3D soil structures, providing valuable
understanding into both the existence and uniqueness of solutions and the
asymptotic behavior of the corresponding PDE model. Our investigation results
in the discovery of a global attractor, a fundamental feature with significant
implications for long-term system behavior. To enhance the clarity of our
findings, numerical simulations are employed to visually illustrate the
attributes of this global attractor.