We continue the study on a reaction–diffusion system with non-local terms, which arises as a mean field limit of a master equation using a reaction radius. This work was initiated in Kavallaris & Suzuki (2012, Non-local reaction–diffusion system involved by reaction radius I. IMA J. Appl. Math., 1–19), and here, we investigate the rate of convergence of the solution towards the unique stationary solution.