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

Figure 4

2-dimensional phase portrait. (a) Phase portrait of 𝑥^∗₁(𝑛) and 𝑥^∗₂(𝑛) with initial values 𝑥^∗₁(0)=1.18,𝑥^∗₂(0)=0.96 and 𝑥₁(𝑛) and 𝑥₂(𝑛) with initial values 𝑥₁(0)=1.06,𝑥₂(0)=1.18 for 𝑛∈[0,100], respectively. (b) Phase portrait of 𝑢^∗₁(𝑛) and 𝑢^∗₂(𝑛) with initial values 𝑢^∗₁(0)=0.024,𝑢^∗₂(0)=0.023 and 𝑢₁(𝑛) and 𝑢₂(𝑛) with initial values 𝑢₁(0)=0.034,𝑢₂(0)=0.012 for 𝑛∈[0,100], respectively.

(a)

(b)