This paper is devoted to the study of almost periodic solutions of a discrete two-species competitive system. With the help of the methods of the Lyapunov function, some analysis techniques, and preliminary lemmas, we establish a criterion for the existence, uniqueness, and uniformly asymptotic stability of positive almost periodic solution of the system. Numerical simulations are presented to illustrate the analytical results.
"Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/182158