Positive Periodic Solutions of a Periodic Discrete Competitive System Subject to Feedback Controls

Figure 3

Global asymptotic stability. (a)–(d) Time-series of 𝑦^∗₁(𝑘), 𝑦^∗₂(𝑘), 𝑣^∗₁(𝑘), and 𝑣^∗₂(𝑘) with initial values 𝑦^∗₁(0)=1.1560, 𝑦^∗₂(0)=1.0720, 𝑣^∗₁(0)=0.0128, and 𝑣^∗₂(0)=0.0078 and 𝑦₁(𝑘), 𝑦₂(𝑘), 𝑣₁(𝑘), and 𝑣₂(𝑘) with initial values 𝑦₁(0)=1.1300, 𝑦₂(0)=1.0850, 𝑣₁(0)=0.0123, and 𝑣₂(0)=0.0071 for 𝑘∈[0,100], respectively.

(a)

(b)

(c)

(d)