Permanence and Positive Periodic Solutions of a Discrete Delay Competitive System

Figure 2

Dynamic behaviors of system (4.1) with 𝑥₁(−1)=0.02, 𝑥₁(0)=0.0660, 𝑥₂(−1)=0.03, and 𝑥₂(0)=0.0608. (a) Time series of 𝑥₁. (b) Time series of 𝑥₂. (c) Phase portrait of 𝑥₁ and 𝑥₂ with 𝑘 over [0,120]. (d) Phase portrait of 𝑥₁ and 𝑥₂ with 𝑘 over [110,120].

(a)

(b)

(c)

(d)