  In this paper, we consider the almost periodic dynamics of an impulsive
multispecies Lotka-Volterra competition system with time delays on time scales.
By establishing some comparison theorems of dynamic equations with impulses and
delays on time scales, a permanence result for the model is obtained.
Furthermore, based on the permanence result, by studying the Lyapunov stability
theory of impulsive dynamic equations on time scales, we establish a criterion
for the existence and uniformly asymptotic stability of a unique positive
almost periodic solution of the system. Finally, we give an example to show the
feasibility of our main results and our example also shows that the continuous
time system and its corresponding discrete time system have the same dynamics.
Our results of this paper are completely new even if for both the case of the
time scale $\mathbb{T}=\mathbb{R}$ and the case of $\mathbb{Z}$.
