Existence and stability of positive almost periodic solutions for a competitive system on time scales

•An almost periodic competitive system on time scales is considered.•Existence and uniformly asymptotic stability of unique positive almost periodic solution of the system is established.•Numerical simulations illustrate the feasibilities of the analytical results.

This paper concerns with the asymptotic behaviors of an almost periodic competitive system on time scales. By employing time scale calculus theory and Lyapunov functional method, a good understanding of the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system is obtained. Also, two examples together with their numerical simulations illustrate the feasibilities of our analytical results.