Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls

Figure 3

Uniformly asymptotic stability. (a)–(d) Time-series of 𝑥^∗₁(𝑛),𝑥^∗₂(𝑛),𝑢^∗₁(𝑛) and 𝑢^∗₂(𝑛) with initial values 𝑥^∗₁(0)=1.18,𝑥^∗₂(0)=0.96,𝑢^∗₁(0)=0.024,and𝑢^∗₂(0)=0.023 and 𝑥₁(𝑛),𝑥₂(𝑛),𝑢₁(𝑛), and 𝑢₂(𝑛) with initial values 𝑥₁(0)=1.06,𝑥₂(0)=1.18,𝑢₁(0)=0.034,and𝑢₂(0)=0.012 for 𝑛∈[0,100], respectively.

(a)

(b)

(c)

(d)