paper I the present, time. we consider a class of reaction diffusion systems based on the LV 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. doi:10.5890/DNC.2022.09.003