2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94527In this article, we have studied the difference-difference Lotka-Volterra equations in p-adic number space and its p-adic valuation version. We pointed out that the structure of the space given by taking the ultra-discrete limit is the same as that of the $p$-adic valuation space.AMS-Tex Use. Title changesExactly Solvable and Integrable Systemsp-adic Difference-Difference Lotka-Volterra Equation and Ultra-Discrete Limittext