paper, In the present, and we consider a class of reaction-diffusion systems based on the Lotka-Volterra differential equation model of a predator-prey interaction with the existence of memory terms. We show that every solution with initial values in and subject to homogeneous Neumann boundary conditions decays to a spatially homogeneous function of time. “On Distributed Predator-Prey System With Memories”. Discontinuity, Nonlinearity, and Complexity 11, no. 3 (August 17, 2026): 395–403. Accessed August 17, 2026. https://lhscientificpublishing.com/index.php/DNC/article/view/1697.