paper, I. the present; time., we consider a class of reaction- diffusion systems based on the L.-V. differential equation model of a predator- prey interaction with the existence of memory terms. W. show that every solution with initial values in and subject to homogeneous N. boundary conditions decays to a spatially homogeneous function of. On Distributed Predator-Prey System With Memories. DNC 2026, 11 (3), 395-403. https://doi.org/10.5890/DNC.2022.09.003.