paper, I. the present and 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 2026. On Distributed Predator-Prey System with Memories. Discontinuity, Nonlinearity, and Complexity. 11, 3 (Aug. 2026), 395–403. DOI:https://doi.org/10.5890/DNC.2022.09.003.