Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System

Figure 3

Uniformly asymptotic stability. (a), (c) Time-series 𝑥^∗₁(𝑛) and 𝑥^∗₂(𝑛) with initial values 𝑥^∗₁(0)=1.19, 𝑥^∗₂(0)=1.18 and 𝑥₁(𝑛) and 𝑥₂(𝑛) with initial values 𝑥₁(0)=1.06, 𝑥₂(0)=1.03 for 𝑛∈[0,100], respectively. (b), (d) Time-series 𝑥^∗₁(𝑛), 𝑥^∗₂(𝑛), 𝑥₁(𝑛), and 𝑥₂(𝑛) with the above initial values for 𝑛∈[700,800], respectively.

(a)

(b)

(c)

(d)