Dynamics of Nonautonomous Stochastic Gilpin-Ayala Competition Model with Jumps

Figure 2

Solutions of systems (89) for 𝑟₁(𝑡)=𝑟₂(𝑡)=1+(3/(1+𝑡²)), 𝜎₁₁(𝑡)=1.45−(1/√1+𝑡), 𝜎₂₂(𝑡)=0.1(1−(1/√1+𝑡)), 𝜃₁₁(𝑡)=0, and 𝜃₂₂(𝑡)=1/2; initial data 𝑥₁(0)=100, 𝑥₂(0)=50 (a), 𝑟₁(𝑡)=1.5+sin𝑡+(1/(1+𝑡²)), 𝑟₂(𝑡)=1.5+(2/(1+𝑡²)), 𝜎₁₁(𝑡)=1.8−(1/√1+𝑡), 𝜎₂₂(𝑡)=1.8−(1/(1+𝑡)), 𝜃₁₁(𝑡)=1, and 𝜃₂₂(𝑡)=0 initial data 𝑥₁(0)=400, 𝑥₂(0)=200 (b).

(a)

(b)